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Finding the Third Proportional to 9,888.75 and 14,293.13

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Solution

The third proportional to 9,888.75 and 14,293.13 is: 20,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.75 : 14,293.13 = 14,293.13 : x
  2. Step 2: Convert to fraction form
    9,888.75/14,293.13 = 14,293.13/x
  3. Step 3: Cross multiply
    9,888.75x = 14,293.13 × 14,293.13
  4. Step 4: Simplify right side
    9,888.75x = 204,293,422.27
  5. Step 5: Solve for x
    x = 204,293,422.27/9,888.75
  6. Step 6: Final answer
    x = 20,659.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.