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Finding the Third Proportional to 23,442.75 and 47,752.88

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Solution

The third proportional to 23,442.75 and 47,752.88 is: 97,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.75 : 47,752.88 = 47,752.88 : x
  2. Step 2: Convert to fraction form
    23,442.75/47,752.88 = 47,752.88/x
  3. Step 3: Cross multiply
    23,442.75x = 47,752.88 × 47,752.88
  4. Step 4: Simplify right side
    23,442.75x = 2,280,337,070.77
  5. Step 5: Solve for x
    x = 2,280,337,070.77/23,442.75
  6. Step 6: Final answer
    x = 97,272.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.