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Finding the Third Proportional to 35,772.66 and 77,691.19

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Solution

The third proportional to 35,772.66 and 77,691.19 is: 168,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,772.66 : 77,691.19 = 77,691.19 : x
  2. Step 2: Convert to fraction form
    35,772.66/77,691.19 = 77,691.19/x
  3. Step 3: Cross multiply
    35,772.66x = 77,691.19 × 77,691.19
  4. Step 4: Simplify right side
    35,772.66x = 6,035,920,615.16
  5. Step 5: Solve for x
    x = 6,035,920,615.16/35,772.66
  6. Step 6: Final answer
    x = 168,730.01

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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.