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Finding the Third Proportional to 36,716 and 55,418

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Solution

The third proportional to 36,716 and 55,418 is: 83,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,716 : 55,418 = 55,418 : x
  2. Step 2: Convert to fraction form
    36,716/55,418 = 55,418/x
  3. Step 3: Cross multiply
    36,716x = 55,418 × 55,418
  4. Step 4: Simplify right side
    36,716x = 3,071,154,724
  5. Step 5: Solve for x
    x = 3,071,154,724/36,716
  6. Step 6: Final answer
    x = 83,646.22

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