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Finding the Third Proportional to 10,314.19 and 16,087.69

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Solution

The third proportional to 10,314.19 and 16,087.69 is: 25,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.19 : 16,087.69 = 16,087.69 : x
  2. Step 2: Convert to fraction form
    10,314.19/16,087.69 = 16,087.69/x
  3. Step 3: Cross multiply
    10,314.19x = 16,087.69 × 16,087.69
  4. Step 4: Simplify right side
    10,314.19x = 258,813,689.10
  5. Step 5: Solve for x
    x = 258,813,689.10/10,314.19
  6. Step 6: Final answer
    x = 25,092.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.