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Finding the Third Proportional to 36,776 and 55,569

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Solution

The third proportional to 36,776 and 55,569 is: 83,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776 : 55,569 = 55,569 : x
  2. Step 2: Convert to fraction form
    36,776/55,569 = 55,569/x
  3. Step 3: Cross multiply
    36,776x = 55,569 × 55,569
  4. Step 4: Simplify right side
    36,776x = 3,087,913,761
  5. Step 5: Solve for x
    x = 3,087,913,761/36,776
  6. Step 6: Final answer
    x = 83,965.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.