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Finding the Third Proportional to 13,767.75 and 29,013.75

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Solution

The third proportional to 13,767.75 and 29,013.75 is: 61,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.75 : 29,013.75 = 29,013.75 : x
  2. Step 2: Convert to fraction form
    13,767.75/29,013.75 = 29,013.75/x
  3. Step 3: Cross multiply
    13,767.75x = 29,013.75 × 29,013.75
  4. Step 4: Simplify right side
    13,767.75x = 841,797,689.06
  5. Step 5: Solve for x
    x = 841,797,689.06/13,767.75
  6. Step 6: Final answer
    x = 61,142.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.