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Finding the Third Proportional to 20,710.69 and 32,847.19

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Solution

The third proportional to 20,710.69 and 32,847.19 is: 52,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.69 : 32,847.19 = 32,847.19 : x
  2. Step 2: Convert to fraction form
    20,710.69/32,847.19 = 32,847.19/x
  3. Step 3: Cross multiply
    20,710.69x = 32,847.19 × 32,847.19
  4. Step 4: Simplify right side
    20,710.69x = 1,078,937,726.66
  5. Step 5: Solve for x
    x = 1,078,937,726.66/20,710.69
  6. Step 6: Final answer
    x = 52,095.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.