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Finding the Third Proportional to 40,464 and 59,376

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Solution

The third proportional to 40,464 and 59,376 is: 87,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464 : 59,376 = 59,376 : x
  2. Step 2: Convert to fraction form
    40,464/59,376 = 59,376/x
  3. Step 3: Cross multiply
    40,464x = 59,376 × 59,376
  4. Step 4: Simplify right side
    40,464x = 3,525,509,376
  5. Step 5: Solve for x
    x = 3,525,509,376/40,464
  6. Step 6: Final answer
    x = 87,127.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.