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Finding the Third Proportional to 10,627.45 and 23,248.27

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Solution

The third proportional to 10,627.45 and 23,248.27 is: 50,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.45 : 23,248.27 = 23,248.27 : x
  2. Step 2: Convert to fraction form
    10,627.45/23,248.27 = 23,248.27/x
  3. Step 3: Cross multiply
    10,627.45x = 23,248.27 × 23,248.27
  4. Step 4: Simplify right side
    10,627.45x = 540,481,854.57
  5. Step 5: Solve for x
    x = 540,481,854.57/10,627.45
  6. Step 6: Final answer
    x = 50,857.14

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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.