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Finding the Third Proportional to 37,810.13 and 81,512.81

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Solution

The third proportional to 37,810.13 and 81,512.81 is: 175,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,810.13 : 81,512.81 = 81,512.81 : x
  2. Step 2: Convert to fraction form
    37,810.13/81,512.81 = 81,512.81/x
  3. Step 3: Cross multiply
    37,810.13x = 81,512.81 × 81,512.81
  4. Step 4: Simplify right side
    37,810.13x = 6,644,338,601.66
  5. Step 5: Solve for x
    x = 6,644,338,601.66/37,810.13
  6. Step 6: Final answer
    x = 175,729.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.