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Finding the Third Proportional to 37,000.13 and 55,093.50

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Solution

The third proportional to 37,000.13 and 55,093.50 is: 82,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000.13 : 55,093.50 = 55,093.50 : x
  2. Step 2: Convert to fraction form
    37,000.13/55,093.50 = 55,093.50/x
  3. Step 3: Cross multiply
    37,000.13x = 55,093.50 × 55,093.50
  4. Step 4: Simplify right side
    37,000.13x = 3,035,293,742.25
  5. Step 5: Solve for x
    x = 3,035,293,742.25/37,000.13
  6. Step 6: Final answer
    x = 82,034.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.