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Finding the Third Proportional to 27,820.88 and 61,645.88

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Solution

The third proportional to 27,820.88 and 61,645.88 is: 136,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.88 : 61,645.88 = 61,645.88 : x
  2. Step 2: Convert to fraction form
    27,820.88/61,645.88 = 61,645.88/x
  3. Step 3: Cross multiply
    27,820.88x = 61,645.88 × 61,645.88
  4. Step 4: Simplify right side
    27,820.88x = 3,800,213,904.52
  5. Step 5: Solve for x
    x = 3,800,213,904.52/27,820.88
  6. Step 6: Final answer
    x = 136,595.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.