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Finding the Third Proportional to 9,732.66 and 14,638.22

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Solution

The third proportional to 9,732.66 and 14,638.22 is: 22,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.66 : 14,638.22 = 14,638.22 : x
  2. Step 2: Convert to fraction form
    9,732.66/14,638.22 = 14,638.22/x
  3. Step 3: Cross multiply
    9,732.66x = 14,638.22 × 14,638.22
  4. Step 4: Simplify right side
    9,732.66x = 214,277,448.17
  5. Step 5: Solve for x
    x = 214,277,448.17/9,732.66
  6. Step 6: Final answer
    x = 22,016.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.