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Finding the Third Proportional to 37,351.13 and 55,282.50

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Solution

The third proportional to 37,351.13 and 55,282.50 is: 81,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,351.13 : 55,282.50 = 55,282.50 : x
  2. Step 2: Convert to fraction form
    37,351.13/55,282.50 = 55,282.50/x
  3. Step 3: Cross multiply
    37,351.13x = 55,282.50 × 55,282.50
  4. Step 4: Simplify right side
    37,351.13x = 3,056,154,806.25
  5. Step 5: Solve for x
    x = 3,056,154,806.25/37,351.13
  6. Step 6: Final answer
    x = 81,822.30

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.