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Finding the Third Proportional to 35,745 and 77,374

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Solution

The third proportional to 35,745 and 77,374 is: 167,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745 : 77,374 = 77,374 : x
  2. Step 2: Convert to fraction form
    35,745/77,374 = 77,374/x
  3. Step 3: Cross multiply
    35,745x = 77,374 × 77,374
  4. Step 4: Simplify right side
    35,745x = 5,986,735,876
  5. Step 5: Solve for x
    x = 5,986,735,876/35,745
  6. Step 6: Final answer
    x = 167,484.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.