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Finding the Third Proportional to 4,122 and 8,374.50

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Solution

The third proportional to 4,122 and 8,374.50 is: 17,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 8,374.50 = 8,374.50 : x
  2. Step 2: Convert to fraction form
    4,122/8,374.50 = 8,374.50/x
  3. Step 3: Cross multiply
    4,122x = 8,374.50 × 8,374.50
  4. Step 4: Simplify right side
    4,122x = 70,132,250.25
  5. Step 5: Solve for x
    x = 70,132,250.25/4,122
  6. Step 6: Final answer
    x = 17,014.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.