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Finding the Third Proportional to 10,390.13 and 22,257.75

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Solution

The third proportional to 10,390.13 and 22,257.75 is: 47,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.13 : 22,257.75 = 22,257.75 : x
  2. Step 2: Convert to fraction form
    10,390.13/22,257.75 = 22,257.75/x
  3. Step 3: Cross multiply
    10,390.13x = 22,257.75 × 22,257.75
  4. Step 4: Simplify right side
    10,390.13x = 495,407,435.06
  5. Step 5: Solve for x
    x = 495,407,435.06/10,390.13
  6. Step 6: Final answer
    x = 47,680.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.