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Finding the Third Proportional to 12,301.88 and 17,359.31

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Solution

The third proportional to 12,301.88 and 17,359.31 is: 24,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 17,359.31 = 17,359.31 : x
  2. Step 2: Convert to fraction form
    12,301.88/17,359.31 = 17,359.31/x
  3. Step 3: Cross multiply
    12,301.88x = 17,359.31 × 17,359.31
  4. Step 4: Simplify right side
    12,301.88x = 301,345,730.47
  5. Step 5: Solve for x
    x = 301,345,730.47/12,301.88
  6. Step 6: Final answer
    x = 24,495.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.