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Finding the Third Proportional to 9,867.13 and 14,685.36

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Solution

The third proportional to 9,867.13 and 14,685.36 is: 21,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.13 : 14,685.36 = 14,685.36 : x
  2. Step 2: Convert to fraction form
    9,867.13/14,685.36 = 14,685.36/x
  3. Step 3: Cross multiply
    9,867.13x = 14,685.36 × 14,685.36
  4. Step 4: Simplify right side
    9,867.13x = 215,659,894.70
  5. Step 5: Solve for x
    x = 215,659,894.70/9,867.13
  6. Step 6: Final answer
    x = 21,856.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.