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Finding the Third Proportional to 61,524.56 and 96,387.47

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Solution

The third proportional to 61,524.56 and 96,387.47 is: 151,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,524.56 : 96,387.47 = 96,387.47 : x
  2. Step 2: Convert to fraction form
    61,524.56/96,387.47 = 96,387.47/x
  3. Step 3: Cross multiply
    61,524.56x = 96,387.47 × 96,387.47
  4. Step 4: Simplify right side
    61,524.56x = 9,290,544,132.03
  5. Step 5: Solve for x
    x = 9,290,544,132.03/61,524.56
  6. Step 6: Final answer
    x = 151,005.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.