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Finding the Third Proportional to 5,434.88 and 11,895.75

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Solution

The third proportional to 5,434.88 and 11,895.75 is: 26,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.88 : 11,895.75 = 11,895.75 : x
  2. Step 2: Convert to fraction form
    5,434.88/11,895.75 = 11,895.75/x
  3. Step 3: Cross multiply
    5,434.88x = 11,895.75 × 11,895.75
  4. Step 4: Simplify right side
    5,434.88x = 141,508,868.06
  5. Step 5: Solve for x
    x = 141,508,868.06/5,434.88
  6. Step 6: Final answer
    x = 26,037.19

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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.