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Finding the Third Proportional to 14,897.25 and 22,142.25

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Solution

The third proportional to 14,897.25 and 22,142.25 is: 32,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.25 : 22,142.25 = 22,142.25 : x
  2. Step 2: Convert to fraction form
    14,897.25/22,142.25 = 22,142.25/x
  3. Step 3: Cross multiply
    14,897.25x = 22,142.25 × 22,142.25
  4. Step 4: Simplify right side
    14,897.25x = 490,279,235.06
  5. Step 5: Solve for x
    x = 490,279,235.06/14,897.25
  6. Step 6: Final answer
    x = 32,910.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.