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Finding the Third Proportional to 4,749 and 7,084.88

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Solution

The third proportional to 4,749 and 7,084.88 is: 10,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749 : 7,084.88 = 7,084.88 : x
  2. Step 2: Convert to fraction form
    4,749/7,084.88 = 7,084.88/x
  3. Step 3: Cross multiply
    4,749x = 7,084.88 × 7,084.88
  4. Step 4: Simplify right side
    4,749x = 50,195,453.77
  5. Step 5: Solve for x
    x = 50,195,453.77/4,749
  6. Step 6: Final answer
    x = 10,569.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.