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Finding the Third Proportional to 2,475.25 and 3,700.37

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Solution

The third proportional to 2,475.25 and 3,700.37 is: 5,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.25 : 3,700.37 = 3,700.37 : x
  2. Step 2: Convert to fraction form
    2,475.25/3,700.37 = 3,700.37/x
  3. Step 3: Cross multiply
    2,475.25x = 3,700.37 × 3,700.37
  4. Step 4: Simplify right side
    2,475.25x = 13,692,746.23
  5. Step 5: Solve for x
    x = 13,692,746.23/2,475.25
  6. Step 6: Final answer
    x = 5,531.87

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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.