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Finding the Third Proportional to 10,675.31 and 15,207.19

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Solution

The third proportional to 10,675.31 and 15,207.19 is: 21,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.31 : 15,207.19 = 15,207.19 : x
  2. Step 2: Convert to fraction form
    10,675.31/15,207.19 = 15,207.19/x
  3. Step 3: Cross multiply
    10,675.31x = 15,207.19 × 15,207.19
  4. Step 4: Simplify right side
    10,675.31x = 231,258,551.66
  5. Step 5: Solve for x
    x = 231,258,551.66/10,675.31
  6. Step 6: Final answer
    x = 21,662.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.