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Finding the Third Proportional to 5,869.02 and 12,857.17

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Solution

The third proportional to 5,869.02 and 12,857.17 is: 28,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.02 : 12,857.17 = 12,857.17 : x
  2. Step 2: Convert to fraction form
    5,869.02/12,857.17 = 12,857.17/x
  3. Step 3: Cross multiply
    5,869.02x = 12,857.17 × 12,857.17
  4. Step 4: Simplify right side
    5,869.02x = 165,306,768.18
  5. Step 5: Solve for x
    x = 165,306,768.18/5,869.02
  6. Step 6: Final answer
    x = 28,165.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.