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Finding the Third Proportional to 47,876.63 and 75,774.38

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Solution

The third proportional to 47,876.63 and 75,774.38 is: 119,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.63 : 75,774.38 = 75,774.38 : x
  2. Step 2: Convert to fraction form
    47,876.63/75,774.38 = 75,774.38/x
  3. Step 3: Cross multiply
    47,876.63x = 75,774.38 × 75,774.38
  4. Step 4: Simplify right side
    47,876.63x = 5,741,755,906.64
  5. Step 5: Solve for x
    x = 5,741,755,906.64/47,876.63
  6. Step 6: Final answer
    x = 119,928.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.