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Finding the Third Proportional to 5,746.50 and 13,320

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Solution

The third proportional to 5,746.50 and 13,320 is: 30,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.50 : 13,320 = 13,320 : x
  2. Step 2: Convert to fraction form
    5,746.50/13,320 = 13,320/x
  3. Step 3: Cross multiply
    5,746.50x = 13,320 × 13,320
  4. Step 4: Simplify right side
    5,746.50x = 177,422,400
  5. Step 5: Solve for x
    x = 177,422,400/5,746.50
  6. Step 6: Final answer
    x = 30,874.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.