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Finding the Third Proportional to 15,686.16 and 34,230.09

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Solution

The third proportional to 15,686.16 and 34,230.09 is: 74,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.16 : 34,230.09 = 34,230.09 : x
  2. Step 2: Convert to fraction form
    15,686.16/34,230.09 = 34,230.09/x
  3. Step 3: Cross multiply
    15,686.16x = 34,230.09 × 34,230.09
  4. Step 4: Simplify right side
    15,686.16x = 1,171,699,318.13
  5. Step 5: Solve for x
    x = 1,171,699,318.13/15,686.16
  6. Step 6: Final answer
    x = 74,696.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.