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Finding the Third Proportional to 47,715.75 and 70,115.25

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Solution

The third proportional to 47,715.75 and 70,115.25 is: 103,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715.75 : 70,115.25 = 70,115.25 : x
  2. Step 2: Convert to fraction form
    47,715.75/70,115.25 = 70,115.25/x
  3. Step 3: Cross multiply
    47,715.75x = 70,115.25 × 70,115.25
  4. Step 4: Simplify right side
    47,715.75x = 4,916,148,282.56
  5. Step 5: Solve for x
    x = 4,916,148,282.56/47,715.75
  6. Step 6: Final answer
    x = 103,029.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.