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Finding the Third Proportional to 2,385.07 and 3,493.76

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Solution

The third proportional to 2,385.07 and 3,493.76 is: 5,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.07 : 3,493.76 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    2,385.07/3,493.76 = 3,493.76/x
  3. Step 3: Cross multiply
    2,385.07x = 3,493.76 × 3,493.76
  4. Step 4: Simplify right side
    2,385.07x = 12,206,343.65
  5. Step 5: Solve for x
    x = 12,206,343.65/2,385.07
  6. Step 6: Final answer
    x = 5,117.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.