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Finding the Third Proportional to 23,242.57 and 47,860.56

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Solution

The third proportional to 23,242.57 and 47,860.56 is: 98,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.57 : 47,860.56 = 47,860.56 : x
  2. Step 2: Convert to fraction form
    23,242.57/47,860.56 = 47,860.56/x
  3. Step 3: Cross multiply
    23,242.57x = 47,860.56 × 47,860.56
  4. Step 4: Simplify right side
    23,242.57x = 2,290,633,068.91
  5. Step 5: Solve for x
    x = 2,290,633,068.91/23,242.57
  6. Step 6: Final answer
    x = 98,553.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.