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Finding the Third Proportional to 27,681.75 and 61,074

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Solution

The third proportional to 27,681.75 and 61,074 is: 134,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.75 : 61,074 = 61,074 : x
  2. Step 2: Convert to fraction form
    27,681.75/61,074 = 61,074/x
  3. Step 3: Cross multiply
    27,681.75x = 61,074 × 61,074
  4. Step 4: Simplify right side
    27,681.75x = 3,730,033,476
  5. Step 5: Solve for x
    x = 3,730,033,476/27,681.75
  6. Step 6: Final answer
    x = 134,747.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.