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Finding the Third Proportional to 10,246.50 and 13,456.13

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Solution

The third proportional to 10,246.50 and 13,456.13 is: 17,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.50 : 13,456.13 = 13,456.13 : x
  2. Step 2: Convert to fraction form
    10,246.50/13,456.13 = 13,456.13/x
  3. Step 3: Cross multiply
    10,246.50x = 13,456.13 × 13,456.13
  4. Step 4: Simplify right side
    10,246.50x = 181,067,300.02
  5. Step 5: Solve for x
    x = 181,067,300.02/10,246.50
  6. Step 6: Final answer
    x = 17,671.14

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.