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Finding the Third Proportional to 23,948.50 and 52,427

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Solution

The third proportional to 23,948.50 and 52,427 is: 114,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,948.50 : 52,427 = 52,427 : x
  2. Step 2: Convert to fraction form
    23,948.50/52,427 = 52,427/x
  3. Step 3: Cross multiply
    23,948.50x = 52,427 × 52,427
  4. Step 4: Simplify right side
    23,948.50x = 2,748,590,329
  5. Step 5: Solve for x
    x = 2,748,590,329/23,948.50
  6. Step 6: Final answer
    x = 114,770.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.