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Finding the Third Proportional to 13,170.75 and 28,708.50

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Solution

The third proportional to 13,170.75 and 28,708.50 is: 62,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.75 : 28,708.50 = 28,708.50 : x
  2. Step 2: Convert to fraction form
    13,170.75/28,708.50 = 28,708.50/x
  3. Step 3: Cross multiply
    13,170.75x = 28,708.50 × 28,708.50
  4. Step 4: Simplify right side
    13,170.75x = 824,177,972.25
  5. Step 5: Solve for x
    x = 824,177,972.25/13,170.75
  6. Step 6: Final answer
    x = 62,576.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.