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Finding the Third Proportional to 47,358.38 and 73,148.63

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Solution

The third proportional to 47,358.38 and 73,148.63 is: 112,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358.38 : 73,148.63 = 73,148.63 : x
  2. Step 2: Convert to fraction form
    47,358.38/73,148.63 = 73,148.63/x
  3. Step 3: Cross multiply
    47,358.38x = 73,148.63 × 73,148.63
  4. Step 4: Simplify right side
    47,358.38x = 5,350,721,339.39
  5. Step 5: Solve for x
    x = 5,350,721,339.39/47,358.38
  6. Step 6: Final answer
    x = 112,983.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.