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Finding the Third Proportional to 14,988.75 and 21,997.13

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Solution

The third proportional to 14,988.75 and 21,997.13 is: 32,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,988.75 : 21,997.13 = 21,997.13 : x
  2. Step 2: Convert to fraction form
    14,988.75/21,997.13 = 21,997.13/x
  3. Step 3: Cross multiply
    14,988.75x = 21,997.13 × 21,997.13
  4. Step 4: Simplify right side
    14,988.75x = 483,873,508.27
  5. Step 5: Solve for x
    x = 483,873,508.27/14,988.75
  6. Step 6: Final answer
    x = 32,282.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.