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Finding the Third Proportional to 8,411.34 and 12,617.02

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Solution

The third proportional to 8,411.34 and 12,617.02 is: 18,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.34 : 12,617.02 = 12,617.02 : x
  2. Step 2: Convert to fraction form
    8,411.34/12,617.02 = 12,617.02/x
  3. Step 3: Cross multiply
    8,411.34x = 12,617.02 × 12,617.02
  4. Step 4: Simplify right side
    8,411.34x = 159,189,083.28
  5. Step 5: Solve for x
    x = 159,189,083.28/8,411.34
  6. Step 6: Final answer
    x = 18,925.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.