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Finding the Third Proportional to 9,721.90 and 14,672.07

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Solution

The third proportional to 9,721.90 and 14,672.07 is: 22,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.90 : 14,672.07 = 14,672.07 : x
  2. Step 2: Convert to fraction form
    9,721.90/14,672.07 = 14,672.07/x
  3. Step 3: Cross multiply
    9,721.90x = 14,672.07 × 14,672.07
  4. Step 4: Simplify right side
    9,721.90x = 215,269,761.88
  5. Step 5: Solve for x
    x = 215,269,761.88/9,721.90
  6. Step 6: Final answer
    x = 22,142.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.