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Finding the Third Proportional to 27,961.14 and 61,381.23

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Solution

The third proportional to 27,961.14 and 61,381.23 is: 134,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961.14 : 61,381.23 = 61,381.23 : x
  2. Step 2: Convert to fraction form
    27,961.14/61,381.23 = 61,381.23/x
  3. Step 3: Cross multiply
    27,961.14x = 61,381.23 × 61,381.23
  4. Step 4: Simplify right side
    27,961.14x = 3,767,655,453.86
  5. Step 5: Solve for x
    x = 3,767,655,453.86/27,961.14
  6. Step 6: Final answer
    x = 134,746.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.