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Finding the Third Proportional to 35,860 and 55,708

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Solution

The third proportional to 35,860 and 55,708 is: 86,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,860 : 55,708 = 55,708 : x
  2. Step 2: Convert to fraction form
    35,860/55,708 = 55,708/x
  3. Step 3: Cross multiply
    35,860x = 55,708 × 55,708
  4. Step 4: Simplify right side
    35,860x = 3,103,381,264
  5. Step 5: Solve for x
    x = 3,103,381,264/35,860
  6. Step 6: Final answer
    x = 86,541.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.