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Finding the Third Proportional to 37,045.50 and 57,378

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Solution

The third proportional to 37,045.50 and 57,378 is: 88,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045.50 : 57,378 = 57,378 : x
  2. Step 2: Convert to fraction form
    37,045.50/57,378 = 57,378/x
  3. Step 3: Cross multiply
    37,045.50x = 57,378 × 57,378
  4. Step 4: Simplify right side
    37,045.50x = 3,292,234,884
  5. Step 5: Solve for x
    x = 3,292,234,884/37,045.50
  6. Step 6: Final answer
    x = 88,870.04

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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.