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Finding the Third Proportional to 20,569 and 32,276

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Solution

The third proportional to 20,569 and 32,276 is: 50,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569 : 32,276 = 32,276 : x
  2. Step 2: Convert to fraction form
    20,569/32,276 = 32,276/x
  3. Step 3: Cross multiply
    20,569x = 32,276 × 32,276
  4. Step 4: Simplify right side
    20,569x = 1,041,740,176
  5. Step 5: Solve for x
    x = 1,041,740,176/20,569
  6. Step 6: Final answer
    x = 50,646.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.