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Finding the Third Proportional to 47,251.13 and 91,038.38

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Solution

The third proportional to 47,251.13 and 91,038.38 is: 175,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.13 : 91,038.38 = 91,038.38 : x
  2. Step 2: Convert to fraction form
    47,251.13/91,038.38 = 91,038.38/x
  3. Step 3: Cross multiply
    47,251.13x = 91,038.38 × 91,038.38
  4. Step 4: Simplify right side
    47,251.13x = 8,287,985,722.64
  5. Step 5: Solve for x
    x = 8,287,985,722.64/47,251.13
  6. Step 6: Final answer
    x = 175,402.93

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.