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Finding the Third Proportional to 13,817.25 and 21,250.13

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Solution

The third proportional to 13,817.25 and 21,250.13 is: 32,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.25 : 21,250.13 = 21,250.13 : x
  2. Step 2: Convert to fraction form
    13,817.25/21,250.13 = 21,250.13/x
  3. Step 3: Cross multiply
    13,817.25x = 21,250.13 × 21,250.13
  4. Step 4: Simplify right side
    13,817.25x = 451,567,812.52
  5. Step 5: Solve for x
    x = 451,567,812.52/13,817.25
  6. Step 6: Final answer
    x = 32,681.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.