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Finding the Third Proportional to 40,564 and 60,507

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Solution

The third proportional to 40,564 and 60,507 is: 90,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564 : 60,507 = 60,507 : x
  2. Step 2: Convert to fraction form
    40,564/60,507 = 60,507/x
  3. Step 3: Cross multiply
    40,564x = 60,507 × 60,507
  4. Step 4: Simplify right side
    40,564x = 3,661,097,049
  5. Step 5: Solve for x
    x = 3,661,097,049/40,564
  6. Step 6: Final answer
    x = 90,254.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.