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Finding the Third Proportional to 48,655.69 and 73,897.31

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Solution

The third proportional to 48,655.69 and 73,897.31 is: 112,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,655.69 : 73,897.31 = 73,897.31 : x
  2. Step 2: Convert to fraction form
    48,655.69/73,897.31 = 73,897.31/x
  3. Step 3: Cross multiply
    48,655.69x = 73,897.31 × 73,897.31
  4. Step 4: Simplify right side
    48,655.69x = 5,460,812,794.72
  5. Step 5: Solve for x
    x = 5,460,812,794.72/48,655.69
  6. Step 6: Final answer
    x = 112,233.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.