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Finding the Third Proportional to 11,557.69 and 26,826.19

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Solution

The third proportional to 11,557.69 and 26,826.19 is: 62,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 26,826.19 = 26,826.19 : x
  2. Step 2: Convert to fraction form
    11,557.69/26,826.19 = 26,826.19/x
  3. Step 3: Cross multiply
    11,557.69x = 26,826.19 × 26,826.19
  4. Step 4: Simplify right side
    11,557.69x = 719,644,335.79
  5. Step 5: Solve for x
    x = 719,644,335.79/11,557.69
  6. Step 6: Final answer
    x = 62,265.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.