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Finding the Third Proportional to 13,967.75 and 29,550.13

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Solution

The third proportional to 13,967.75 and 29,550.13 is: 62,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.75 : 29,550.13 = 29,550.13 : x
  2. Step 2: Convert to fraction form
    13,967.75/29,550.13 = 29,550.13/x
  3. Step 3: Cross multiply
    13,967.75x = 29,550.13 × 29,550.13
  4. Step 4: Simplify right side
    13,967.75x = 873,210,118.38
  5. Step 5: Solve for x
    x = 873,210,118.38/13,967.75
  6. Step 6: Final answer
    x = 62,516.14

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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.