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Finding the Third Proportional to 35,967.75 and 54,451.13

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Solution

The third proportional to 35,967.75 and 54,451.13 is: 82,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967.75 : 54,451.13 = 54,451.13 : x
  2. Step 2: Convert to fraction form
    35,967.75/54,451.13 = 54,451.13/x
  3. Step 3: Cross multiply
    35,967.75x = 54,451.13 × 54,451.13
  4. Step 4: Simplify right side
    35,967.75x = 2,964,925,013.77
  5. Step 5: Solve for x
    x = 2,964,925,013.77/35,967.75
  6. Step 6: Final answer
    x = 82,432.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.