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Finding the Third Proportional to 7,947 and 13,396.50

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Solution

The third proportional to 7,947 and 13,396.50 is: 22,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947 : 13,396.50 = 13,396.50 : x
  2. Step 2: Convert to fraction form
    7,947/13,396.50 = 13,396.50/x
  3. Step 3: Cross multiply
    7,947x = 13,396.50 × 13,396.50
  4. Step 4: Simplify right side
    7,947x = 179,466,212.25
  5. Step 5: Solve for x
    x = 179,466,212.25/7,947
  6. Step 6: Final answer
    x = 22,582.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.