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Finding the Third Proportional to 27,780.75 and 38,890.13

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Solution

The third proportional to 27,780.75 and 38,890.13 is: 54,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.75 : 38,890.13 = 38,890.13 : x
  2. Step 2: Convert to fraction form
    27,780.75/38,890.13 = 38,890.13/x
  3. Step 3: Cross multiply
    27,780.75x = 38,890.13 × 38,890.13
  4. Step 4: Simplify right side
    27,780.75x = 1,512,441,822.52
  5. Step 5: Solve for x
    x = 1,512,441,822.52/27,780.75
  6. Step 6: Final answer
    x = 54,442.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.