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Finding the Third Proportional to 15,387.75 and 36,304.50

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Solution

The third proportional to 15,387.75 and 36,304.50 is: 85,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387.75 : 36,304.50 = 36,304.50 : x
  2. Step 2: Convert to fraction form
    15,387.75/36,304.50 = 36,304.50/x
  3. Step 3: Cross multiply
    15,387.75x = 36,304.50 × 36,304.50
  4. Step 4: Simplify right side
    15,387.75x = 1,318,016,720.25
  5. Step 5: Solve for x
    x = 1,318,016,720.25/15,387.75
  6. Step 6: Final answer
    x = 85,653.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.