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Finding the Third Proportional to 14,331.38 and 21,713.44

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Solution

The third proportional to 14,331.38 and 21,713.44 is: 32,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.38 : 21,713.44 = 21,713.44 : x
  2. Step 2: Convert to fraction form
    14,331.38/21,713.44 = 21,713.44/x
  3. Step 3: Cross multiply
    14,331.38x = 21,713.44 × 21,713.44
  4. Step 4: Simplify right side
    14,331.38x = 471,473,368.07
  5. Step 5: Solve for x
    x = 471,473,368.07/14,331.38
  6. Step 6: Final answer
    x = 32,897.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.