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Finding the Third Proportional to 35,014.13 and 54,306.75

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Solution

The third proportional to 35,014.13 and 54,306.75 is: 84,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014.13 : 54,306.75 = 54,306.75 : x
  2. Step 2: Convert to fraction form
    35,014.13/54,306.75 = 54,306.75/x
  3. Step 3: Cross multiply
    35,014.13x = 54,306.75 × 54,306.75
  4. Step 4: Simplify right side
    35,014.13x = 2,949,223,095.56
  5. Step 5: Solve for x
    x = 2,949,223,095.56/35,014.13
  6. Step 6: Final answer
    x = 84,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.