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Finding the Third Proportional to 5,630.34 and 8,154.84

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Solution

The third proportional to 5,630.34 and 8,154.84 is: 11,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.34 : 8,154.84 = 8,154.84 : x
  2. Step 2: Convert to fraction form
    5,630.34/8,154.84 = 8,154.84/x
  3. Step 3: Cross multiply
    5,630.34x = 8,154.84 × 8,154.84
  4. Step 4: Simplify right side
    5,630.34x = 66,501,476.59
  5. Step 5: Solve for x
    x = 66,501,476.59/5,630.34
  6. Step 6: Final answer
    x = 11,811.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.