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Finding the Third Proportional to 32,730 and 51,909.75

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Solution

The third proportional to 32,730 and 51,909.75 is: 82,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730 : 51,909.75 = 51,909.75 : x
  2. Step 2: Convert to fraction form
    32,730/51,909.75 = 51,909.75/x
  3. Step 3: Cross multiply
    32,730x = 51,909.75 × 51,909.75
  4. Step 4: Simplify right side
    32,730x = 2,694,622,145.06
  5. Step 5: Solve for x
    x = 2,694,622,145.06/32,730
  6. Step 6: Final answer
    x = 82,328.82

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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.