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Finding the Third Proportional to 2,389.90 and 5,124.18

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Solution

The third proportional to 2,389.90 and 5,124.18 is: 10,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.90 : 5,124.18 = 5,124.18 : x
  2. Step 2: Convert to fraction form
    2,389.90/5,124.18 = 5,124.18/x
  3. Step 3: Cross multiply
    2,389.90x = 5,124.18 × 5,124.18
  4. Step 4: Simplify right side
    2,389.90x = 26,257,214.97
  5. Step 5: Solve for x
    x = 26,257,214.97/2,389.90
  6. Step 6: Final answer
    x = 10,986.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.