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Finding the Third Proportional to 10,239.75 and 16,282.13

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Solution

The third proportional to 10,239.75 and 16,282.13 is: 25,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.75 : 16,282.13 = 16,282.13 : x
  2. Step 2: Convert to fraction form
    10,239.75/16,282.13 = 16,282.13/x
  3. Step 3: Cross multiply
    10,239.75x = 16,282.13 × 16,282.13
  4. Step 4: Simplify right side
    10,239.75x = 265,107,594.52
  5. Step 5: Solve for x
    x = 265,107,594.52/10,239.75
  6. Step 6: Final answer
    x = 25,890.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.