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Finding the Third Proportional to 12,195 and 27,526.50

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Solution

The third proportional to 12,195 and 27,526.50 is: 62,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 27,526.50 = 27,526.50 : x
  2. Step 2: Convert to fraction form
    12,195/27,526.50 = 27,526.50/x
  3. Step 3: Cross multiply
    12,195x = 27,526.50 × 27,526.50
  4. Step 4: Simplify right side
    12,195x = 757,708,202.25
  5. Step 5: Solve for x
    x = 757,708,202.25/12,195
  6. Step 6: Final answer
    x = 62,132.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.