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Finding the Third Proportional to 27,986.77 and 42,424.38

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Solution

The third proportional to 27,986.77 and 42,424.38 is: 64,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.77 : 42,424.38 = 42,424.38 : x
  2. Step 2: Convert to fraction form
    27,986.77/42,424.38 = 42,424.38/x
  3. Step 3: Cross multiply
    27,986.77x = 42,424.38 × 42,424.38
  4. Step 4: Simplify right side
    27,986.77x = 1,799,828,257.02
  5. Step 5: Solve for x
    x = 1,799,828,257.02/27,986.77
  6. Step 6: Final answer
    x = 64,309.98

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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.