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Finding the Third Proportional to 6,617.53 and 9,723.80

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Solution

The third proportional to 6,617.53 and 9,723.80 is: 14,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.53 : 9,723.80 = 9,723.80 : x
  2. Step 2: Convert to fraction form
    6,617.53/9,723.80 = 9,723.80/x
  3. Step 3: Cross multiply
    6,617.53x = 9,723.80 × 9,723.80
  4. Step 4: Simplify right side
    6,617.53x = 94,552,225.67
  5. Step 5: Solve for x
    x = 94,552,225.67/6,617.53
  6. Step 6: Final answer
    x = 14,288.14

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Why These Related Problems?

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