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Finding the Third Proportional to 35,711 and 77,650

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Solution

The third proportional to 35,711 and 77,650 is: 168,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711 : 77,650 = 77,650 : x
  2. Step 2: Convert to fraction form
    35,711/77,650 = 77,650/x
  3. Step 3: Cross multiply
    35,711x = 77,650 × 77,650
  4. Step 4: Simplify right side
    35,711x = 6,029,522,500
  5. Step 5: Solve for x
    x = 6,029,522,500/35,711
  6. Step 6: Final answer
    x = 168,842.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.