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Finding the Third Proportional to 27,190.13 and 42,018.19

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Solution

The third proportional to 27,190.13 and 42,018.19 is: 64,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.13 : 42,018.19 = 42,018.19 : x
  2. Step 2: Convert to fraction form
    27,190.13/42,018.19 = 42,018.19/x
  3. Step 3: Cross multiply
    27,190.13x = 42,018.19 × 42,018.19
  4. Step 4: Simplify right side
    27,190.13x = 1,765,528,080.79
  5. Step 5: Solve for x
    x = 1,765,528,080.79/27,190.13
  6. Step 6: Final answer
    x = 64,932.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.