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Finding the Third Proportional to 35,702 and 77,758

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Solution

The third proportional to 35,702 and 77,758 is: 169,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702 : 77,758 = 77,758 : x
  2. Step 2: Convert to fraction form
    35,702/77,758 = 77,758/x
  3. Step 3: Cross multiply
    35,702x = 77,758 × 77,758
  4. Step 4: Simplify right side
    35,702x = 6,046,306,564
  5. Step 5: Solve for x
    x = 6,046,306,564/35,702
  6. Step 6: Final answer
    x = 169,354.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.