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Finding the Third Proportional to 5,886.11 and 9,102.53

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Solution

The third proportional to 5,886.11 and 9,102.53 is: 14,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.11 : 9,102.53 = 9,102.53 : x
  2. Step 2: Convert to fraction form
    5,886.11/9,102.53 = 9,102.53/x
  3. Step 3: Cross multiply
    5,886.11x = 9,102.53 × 9,102.53
  4. Step 4: Simplify right side
    5,886.11x = 82,856,110.71
  5. Step 5: Solve for x
    x = 82,856,110.71/5,886.11
  6. Step 6: Final answer
    x = 14,076.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.