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Finding the Third Proportional to 11,114 and 26,235.25

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Solution

The third proportional to 11,114 and 26,235.25 is: 61,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114 : 26,235.25 = 26,235.25 : x
  2. Step 2: Convert to fraction form
    11,114/26,235.25 = 26,235.25/x
  3. Step 3: Cross multiply
    11,114x = 26,235.25 × 26,235.25
  4. Step 4: Simplify right side
    11,114x = 688,288,342.56
  5. Step 5: Solve for x
    x = 688,288,342.56/11,114
  6. Step 6: Final answer
    x = 61,929.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.