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Finding the Third Proportional to 4,677.28 and 10,221.66

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Solution

The third proportional to 4,677.28 and 10,221.66 is: 22,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.28 : 10,221.66 = 10,221.66 : x
  2. Step 2: Convert to fraction form
    4,677.28/10,221.66 = 10,221.66/x
  3. Step 3: Cross multiply
    4,677.28x = 10,221.66 × 10,221.66
  4. Step 4: Simplify right side
    4,677.28x = 104,482,376.28
  5. Step 5: Solve for x
    x = 104,482,376.28/4,677.28
  6. Step 6: Final answer
    x = 22,338.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.