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Finding the Third Proportional to 3,812.34 and 5,867.16

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Solution

The third proportional to 3,812.34 and 5,867.16 is: 9,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.34 : 5,867.16 = 5,867.16 : x
  2. Step 2: Convert to fraction form
    3,812.34/5,867.16 = 5,867.16/x
  3. Step 3: Cross multiply
    3,812.34x = 5,867.16 × 5,867.16
  4. Step 4: Simplify right side
    3,812.34x = 34,423,522.46
  5. Step 5: Solve for x
    x = 34,423,522.46/3,812.34
  6. Step 6: Final answer
    x = 9,029.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.