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Finding the Third Proportional to 2,458.90 and 3,687.40

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Solution

The third proportional to 2,458.90 and 3,687.40 is: 5,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.90 : 3,687.40 = 3,687.40 : x
  2. Step 2: Convert to fraction form
    2,458.90/3,687.40 = 3,687.40/x
  3. Step 3: Cross multiply
    2,458.90x = 3,687.40 × 3,687.40
  4. Step 4: Simplify right side
    2,458.90x = 13,596,907.24
  5. Step 5: Solve for x
    x = 13,596,907.24/2,458.90
  6. Step 6: Final answer
    x = 5,529.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.