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Finding the Third Proportional to 5,358.75 and 8,416.13

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Solution

The third proportional to 5,358.75 and 8,416.13 is: 13,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.75 : 8,416.13 = 8,416.13 : x
  2. Step 2: Convert to fraction form
    5,358.75/8,416.13 = 8,416.13/x
  3. Step 3: Cross multiply
    5,358.75x = 8,416.13 × 8,416.13
  4. Step 4: Simplify right side
    5,358.75x = 70,831,160.02
  5. Step 5: Solve for x
    x = 70,831,160.02/5,358.75
  6. Step 6: Final answer
    x = 13,217.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.