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Finding the Third Proportional to 28,294.31 and 36,290.53

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Solution

The third proportional to 28,294.31 and 36,290.53 is: 46,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294.31 : 36,290.53 = 36,290.53 : x
  2. Step 2: Convert to fraction form
    28,294.31/36,290.53 = 36,290.53/x
  3. Step 3: Cross multiply
    28,294.31x = 36,290.53 × 36,290.53
  4. Step 4: Simplify right side
    28,294.31x = 1,317,002,658.41
  5. Step 5: Solve for x
    x = 1,317,002,658.41/28,294.31
  6. Step 6: Final answer
    x = 46,546.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.