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Finding the Third Proportional to 14,909.50 and 19,781

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Solution

The third proportional to 14,909.50 and 19,781 is: 26,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.50 : 19,781 = 19,781 : x
  2. Step 2: Convert to fraction form
    14,909.50/19,781 = 19,781/x
  3. Step 3: Cross multiply
    14,909.50x = 19,781 × 19,781
  4. Step 4: Simplify right side
    14,909.50x = 391,287,961
  5. Step 5: Solve for x
    x = 391,287,961/14,909.50
  6. Step 6: Final answer
    x = 26,244.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.