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Finding the Third Proportional to 2,574 and 4,089.38

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Solution

The third proportional to 2,574 and 4,089.38 is: 6,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 4,089.38 = 4,089.38 : x
  2. Step 2: Convert to fraction form
    2,574/4,089.38 = 4,089.38/x
  3. Step 3: Cross multiply
    2,574x = 4,089.38 × 4,089.38
  4. Step 4: Simplify right side
    2,574x = 16,722,987.89
  5. Step 5: Solve for x
    x = 16,722,987.89/2,574
  6. Step 6: Final answer
    x = 6,496.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.