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Finding the Third Proportional to 13,634.16 and 20,002.36

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Solution

The third proportional to 13,634.16 and 20,002.36 is: 29,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.16 : 20,002.36 = 20,002.36 : x
  2. Step 2: Convert to fraction form
    13,634.16/20,002.36 = 20,002.36/x
  3. Step 3: Cross multiply
    13,634.16x = 20,002.36 × 20,002.36
  4. Step 4: Simplify right side
    13,634.16x = 400,094,380.57
  5. Step 5: Solve for x
    x = 400,094,380.57/13,634.16
  6. Step 6: Final answer
    x = 29,345.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.