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Finding the Third Proportional to 14,617.97 and 23,541.89

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Solution

The third proportional to 14,617.97 and 23,541.89 is: 37,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.97 : 23,541.89 = 23,541.89 : x
  2. Step 2: Convert to fraction form
    14,617.97/23,541.89 = 23,541.89/x
  3. Step 3: Cross multiply
    14,617.97x = 23,541.89 × 23,541.89
  4. Step 4: Simplify right side
    14,617.97x = 554,220,614.20
  5. Step 5: Solve for x
    x = 554,220,614.20/14,617.97
  6. Step 6: Final answer
    x = 37,913.65

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.