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Finding the Third Proportional to 6,635.04 and 9,721.90

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Solution

The third proportional to 6,635.04 and 9,721.90 is: 14,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.04 : 9,721.90 = 9,721.90 : x
  2. Step 2: Convert to fraction form
    6,635.04/9,721.90 = 9,721.90/x
  3. Step 3: Cross multiply
    6,635.04x = 9,721.90 × 9,721.90
  4. Step 4: Simplify right side
    6,635.04x = 94,515,309.23
  5. Step 5: Solve for x
    x = 94,515,309.23/6,635.04
  6. Step 6: Final answer
    x = 14,244.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.