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Finding the Third Proportional to 23,242.78 and 47,710.69

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Solution

The third proportional to 23,242.78 and 47,710.69 is: 97,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.78 : 47,710.69 = 47,710.69 : x
  2. Step 2: Convert to fraction form
    23,242.78/47,710.69 = 47,710.69/x
  3. Step 3: Cross multiply
    23,242.78x = 47,710.69 × 47,710.69
  4. Step 4: Simplify right side
    23,242.78x = 2,276,309,701.72
  5. Step 5: Solve for x
    x = 2,276,309,701.72/23,242.78
  6. Step 6: Final answer
    x = 97,936.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.