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Finding the Third Proportional to 8,087.34 and 12,689.16

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Solution

The third proportional to 8,087.34 and 12,689.16 is: 19,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.34 : 12,689.16 = 12,689.16 : x
  2. Step 2: Convert to fraction form
    8,087.34/12,689.16 = 12,689.16/x
  3. Step 3: Cross multiply
    8,087.34x = 12,689.16 × 12,689.16
  4. Step 4: Simplify right side
    8,087.34x = 161,014,686.34
  5. Step 5: Solve for x
    x = 161,014,686.34/8,087.34
  6. Step 6: Final answer
    x = 19,909.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.