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Finding the Third Proportional to 27,778.13 and 42,350.63

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Solution

The third proportional to 27,778.13 and 42,350.63 is: 64,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.13 : 42,350.63 = 42,350.63 : x
  2. Step 2: Convert to fraction form
    27,778.13/42,350.63 = 42,350.63/x
  3. Step 3: Cross multiply
    27,778.13x = 42,350.63 × 42,350.63
  4. Step 4: Simplify right side
    27,778.13x = 1,793,575,437.89
  5. Step 5: Solve for x
    x = 1,793,575,437.89/27,778.13
  6. Step 6: Final answer
    x = 64,567.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.