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Finding the Third Proportional to 40,732 and 61,206

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Solution

The third proportional to 40,732 and 61,206 is: 91,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,732 : 61,206 = 61,206 : x
  2. Step 2: Convert to fraction form
    40,732/61,206 = 61,206/x
  3. Step 3: Cross multiply
    40,732x = 61,206 × 61,206
  4. Step 4: Simplify right side
    40,732x = 3,746,174,436
  5. Step 5: Solve for x
    x = 3,746,174,436/40,732
  6. Step 6: Final answer
    x = 91,971.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.