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Finding the Third Proportional to 42,117.47 and 61,939.69

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Solution

The third proportional to 42,117.47 and 61,939.69 is: 91,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,117.47 : 61,939.69 = 61,939.69 : x
  2. Step 2: Convert to fraction form
    42,117.47/61,939.69 = 61,939.69/x
  3. Step 3: Cross multiply
    42,117.47x = 61,939.69 × 61,939.69
  4. Step 4: Simplify right side
    42,117.47x = 3,836,524,887.60
  5. Step 5: Solve for x
    x = 3,836,524,887.60/42,117.47
  6. Step 6: Final answer
    x = 91,091.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.