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Finding the Third Proportional to 35,029.13 and 54,330.75

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Solution

The third proportional to 35,029.13 and 54,330.75 is: 84,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,029.13 : 54,330.75 = 54,330.75 : x
  2. Step 2: Convert to fraction form
    35,029.13/54,330.75 = 54,330.75/x
  3. Step 3: Cross multiply
    35,029.13x = 54,330.75 × 54,330.75
  4. Step 4: Simplify right side
    35,029.13x = 2,951,830,395.56
  5. Step 5: Solve for x
    x = 2,951,830,395.56/35,029.13
  6. Step 6: Final answer
    x = 84,267.89

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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.