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Finding the Third Proportional to 27,145.13 and 36,222.19

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Solution

The third proportional to 27,145.13 and 36,222.19 is: 48,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.13 : 36,222.19 = 36,222.19 : x
  2. Step 2: Convert to fraction form
    27,145.13/36,222.19 = 36,222.19/x
  3. Step 3: Cross multiply
    27,145.13x = 36,222.19 × 36,222.19
  4. Step 4: Simplify right side
    27,145.13x = 1,312,046,867.29
  5. Step 5: Solve for x
    x = 1,312,046,867.29/27,145.13
  6. Step 6: Final answer
    x = 48,334.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.