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Finding the Third Proportional to 4,772.67 and 11,350.76

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Solution

The third proportional to 4,772.67 and 11,350.76 is: 26,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.67 : 11,350.76 = 11,350.76 : x
  2. Step 2: Convert to fraction form
    4,772.67/11,350.76 = 11,350.76/x
  3. Step 3: Cross multiply
    4,772.67x = 11,350.76 × 11,350.76
  4. Step 4: Simplify right side
    4,772.67x = 128,839,702.92
  5. Step 5: Solve for x
    x = 128,839,702.92/4,772.67
  6. Step 6: Final answer
    x = 26,995.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.