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Finding the Third Proportional to 35,772.75 and 77,691.38

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Solution

The third proportional to 35,772.75 and 77,691.38 is: 168,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.75 : 77,691.38 = 77,691.38 : x
  2. Step 2: Convert to fraction form
    35,772.75/77,691.38 = 77,691.38/x
  3. Step 3: Cross multiply
    35,772.75x = 77,691.38 × 77,691.38
  4. Step 4: Simplify right side
    35,772.75x = 6,035,949,749.39
  5. Step 5: Solve for x
    x = 6,035,949,749.39/35,772.75
  6. Step 6: Final answer
    x = 168,730.38

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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.