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Finding the Third Proportional to 7,947 and 13,250.25

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Solution

The third proportional to 7,947 and 13,250.25 is: 22,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947 : 13,250.25 = 13,250.25 : x
  2. Step 2: Convert to fraction form
    7,947/13,250.25 = 13,250.25/x
  3. Step 3: Cross multiply
    7,947x = 13,250.25 × 13,250.25
  4. Step 4: Simplify right side
    7,947x = 175,569,125.06
  5. Step 5: Solve for x
    x = 175,569,125.06/7,947
  6. Step 6: Final answer
    x = 22,092.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.