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Finding the Third Proportional to 13,938.75 and 15,184.13

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Solution

The third proportional to 13,938.75 and 15,184.13 is: 16,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.75 : 15,184.13 = 15,184.13 : x
  2. Step 2: Convert to fraction form
    13,938.75/15,184.13 = 15,184.13/x
  3. Step 3: Cross multiply
    13,938.75x = 15,184.13 × 15,184.13
  4. Step 4: Simplify right side
    13,938.75x = 230,557,652.02
  5. Step 5: Solve for x
    x = 230,557,652.02/13,938.75
  6. Step 6: Final answer
    x = 16,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.