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Finding the Third Proportional to 47,901.38 and 72,514.75

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Solution

The third proportional to 47,901.38 and 72,514.75 is: 109,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,901.38 : 72,514.75 = 72,514.75 : x
  2. Step 2: Convert to fraction form
    47,901.38/72,514.75 = 72,514.75/x
  3. Step 3: Cross multiply
    47,901.38x = 72,514.75 × 72,514.75
  4. Step 4: Simplify right side
    47,901.38x = 5,258,388,967.56
  5. Step 5: Solve for x
    x = 5,258,388,967.56/47,901.38
  6. Step 6: Final answer
    x = 109,775.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.