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Finding the Third Proportional to 13,849.16 and 29,359.88

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Solution

The third proportional to 13,849.16 and 29,359.88 is: 62,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.16 : 29,359.88 = 29,359.88 : x
  2. Step 2: Convert to fraction form
    13,849.16/29,359.88 = 29,359.88/x
  3. Step 3: Cross multiply
    13,849.16x = 29,359.88 × 29,359.88
  4. Step 4: Simplify right side
    13,849.16x = 862,002,260.02
  5. Step 5: Solve for x
    x = 862,002,260.02/13,849.16
  6. Step 6: Final answer
    x = 62,242.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.