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Finding the Third Proportional to 5,866.59 and 12,218.34

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Solution

The third proportional to 5,866.59 and 12,218.34 is: 25,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.59 : 12,218.34 = 12,218.34 : x
  2. Step 2: Convert to fraction form
    5,866.59/12,218.34 = 12,218.34/x
  3. Step 3: Cross multiply
    5,866.59x = 12,218.34 × 12,218.34
  4. Step 4: Simplify right side
    5,866.59x = 149,287,923.99
  5. Step 5: Solve for x
    x = 149,287,923.99/5,866.59
  6. Step 6: Final answer
    x = 25,447.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.