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Finding the Third Proportional to 2,389.18 and 3,505.46

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Solution

The third proportional to 2,389.18 and 3,505.46 is: 5,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.18 : 3,505.46 = 3,505.46 : x
  2. Step 2: Convert to fraction form
    2,389.18/3,505.46 = 3,505.46/x
  3. Step 3: Cross multiply
    2,389.18x = 3,505.46 × 3,505.46
  4. Step 4: Simplify right side
    2,389.18x = 12,288,283.77
  5. Step 5: Solve for x
    x = 12,288,283.77/2,389.18
  6. Step 6: Final answer
    x = 5,143.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.