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Finding the Third Proportional to 15,081.19 and 31,164.75

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Solution

The third proportional to 15,081.19 and 31,164.75 is: 64,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,081.19 : 31,164.75 = 31,164.75 : x
  2. Step 2: Convert to fraction form
    15,081.19/31,164.75 = 31,164.75/x
  3. Step 3: Cross multiply
    15,081.19x = 31,164.75 × 31,164.75
  4. Step 4: Simplify right side
    15,081.19x = 971,241,642.56
  5. Step 5: Solve for x
    x = 971,241,642.56/15,081.19
  6. Step 6: Final answer
    x = 64,400.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.