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Finding the Third Proportional to 9,148.57 and 12,353.13

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Solution

The third proportional to 9,148.57 and 12,353.13 is: 16,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.57 : 12,353.13 = 12,353.13 : x
  2. Step 2: Convert to fraction form
    9,148.57/12,353.13 = 12,353.13/x
  3. Step 3: Cross multiply
    9,148.57x = 12,353.13 × 12,353.13
  4. Step 4: Simplify right side
    9,148.57x = 152,599,890.28
  5. Step 5: Solve for x
    x = 152,599,890.28/9,148.57
  6. Step 6: Final answer
    x = 16,680.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.