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Finding the Third Proportional to 32,431 and 69,587

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Solution

The third proportional to 32,431 and 69,587 is: 149,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431 : 69,587 = 69,587 : x
  2. Step 2: Convert to fraction form
    32,431/69,587 = 69,587/x
  3. Step 3: Cross multiply
    32,431x = 69,587 × 69,587
  4. Step 4: Simplify right side
    32,431x = 4,842,350,569
  5. Step 5: Solve for x
    x = 4,842,350,569/32,431
  6. Step 6: Final answer
    x = 149,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.