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Finding the Third Proportional to 9,638.34 and 14,377.28

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Solution

The third proportional to 9,638.34 and 14,377.28 is: 21,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.34 : 14,377.28 = 14,377.28 : x
  2. Step 2: Convert to fraction form
    9,638.34/14,377.28 = 14,377.28/x
  3. Step 3: Cross multiply
    9,638.34x = 14,377.28 × 14,377.28
  4. Step 4: Simplify right side
    9,638.34x = 206,706,251.24
  5. Step 5: Solve for x
    x = 206,706,251.24/9,638.34
  6. Step 6: Final answer
    x = 21,446.26

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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.