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Finding the Third Proportional to 13,299.19 and 15,243.19

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Solution

The third proportional to 13,299.19 and 15,243.19 is: 17,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.19 : 15,243.19 = 15,243.19 : x
  2. Step 2: Convert to fraction form
    13,299.19/15,243.19 = 15,243.19/x
  3. Step 3: Cross multiply
    13,299.19x = 15,243.19 × 15,243.19
  4. Step 4: Simplify right side
    13,299.19x = 232,354,765.16
  5. Step 5: Solve for x
    x = 232,354,765.16/13,299.19
  6. Step 6: Final answer
    x = 17,471.35

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.