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Finding the Third Proportional to 36,298.97 and 77,851.13

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Solution

The third proportional to 36,298.97 and 77,851.13 is: 166,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.97 : 77,851.13 = 77,851.13 : x
  2. Step 2: Convert to fraction form
    36,298.97/77,851.13 = 77,851.13/x
  3. Step 3: Cross multiply
    36,298.97x = 77,851.13 × 77,851.13
  4. Step 4: Simplify right side
    36,298.97x = 6,060,797,663.77
  5. Step 5: Solve for x
    x = 6,060,797,663.77/36,298.97
  6. Step 6: Final answer
    x = 166,968.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.