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Finding the Third Proportional to 2,693.81 and 4,024.13

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Solution

The third proportional to 2,693.81 and 4,024.13 is: 6,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.81 : 4,024.13 = 4,024.13 : x
  2. Step 2: Convert to fraction form
    2,693.81/4,024.13 = 4,024.13/x
  3. Step 3: Cross multiply
    2,693.81x = 4,024.13 × 4,024.13
  4. Step 4: Simplify right side
    2,693.81x = 16,193,582.02
  5. Step 5: Solve for x
    x = 16,193,582.02/2,693.81
  6. Step 6: Final answer
    x = 6,011.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.