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Finding the Third Proportional to 1,864.90 and 3,002.38

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Solution

The third proportional to 1,864.90 and 3,002.38 is: 4,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.90 : 3,002.38 = 3,002.38 : x
  2. Step 2: Convert to fraction form
    1,864.90/3,002.38 = 3,002.38/x
  3. Step 3: Cross multiply
    1,864.90x = 3,002.38 × 3,002.38
  4. Step 4: Simplify right side
    1,864.90x = 9,014,279.10
  5. Step 5: Solve for x
    x = 9,014,279.10/1,864.90
  6. Step 6: Final answer
    x = 4,833.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.