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Finding the Third Proportional to 47,316.66 and 72,451.97

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Solution

The third proportional to 47,316.66 and 72,451.97 is: 110,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316.66 : 72,451.97 = 72,451.97 : x
  2. Step 2: Convert to fraction form
    47,316.66/72,451.97 = 72,451.97/x
  3. Step 3: Cross multiply
    47,316.66x = 72,451.97 × 72,451.97
  4. Step 4: Simplify right side
    47,316.66x = 5,249,287,775.75
  5. Step 5: Solve for x
    x = 5,249,287,775.75/47,316.66
  6. Step 6: Final answer
    x = 110,939.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.