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Finding the Third Proportional to 27,337.25 and 42,169.63

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Solution

The third proportional to 27,337.25 and 42,169.63 is: 65,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,337.25 : 42,169.63 = 42,169.63 : x
  2. Step 2: Convert to fraction form
    27,337.25/42,169.63 = 42,169.63/x
  3. Step 3: Cross multiply
    27,337.25x = 42,169.63 × 42,169.63
  4. Step 4: Simplify right side
    27,337.25x = 1,778,277,272.64
  5. Step 5: Solve for x
    x = 1,778,277,272.64/27,337.25
  6. Step 6: Final answer
    x = 65,049.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.