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Finding the Third Proportional to 52,776 and 77,433

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Solution

The third proportional to 52,776 and 77,433 is: 113,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,776 : 77,433 = 77,433 : x
  2. Step 2: Convert to fraction form
    52,776/77,433 = 77,433/x
  3. Step 3: Cross multiply
    52,776x = 77,433 × 77,433
  4. Step 4: Simplify right side
    52,776x = 5,995,869,489
  5. Step 5: Solve for x
    x = 5,995,869,489/52,776
  6. Step 6: Final answer
    x = 113,609.78

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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.