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Finding the Third Proportional to 27,712.13 and 42,661.69

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Solution

The third proportional to 27,712.13 and 42,661.69 is: 65,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.13 : 42,661.69 = 42,661.69 : x
  2. Step 2: Convert to fraction form
    27,712.13/42,661.69 = 42,661.69/x
  3. Step 3: Cross multiply
    27,712.13x = 42,661.69 × 42,661.69
  4. Step 4: Simplify right side
    27,712.13x = 1,820,019,580.35
  5. Step 5: Solve for x
    x = 1,820,019,580.35/27,712.13
  6. Step 6: Final answer
    x = 65,675.93

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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.