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Finding the Third Proportional to 31,195.13 and 47,924.16

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Solution

The third proportional to 31,195.13 and 47,924.16 is: 73,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.13 : 47,924.16 = 47,924.16 : x
  2. Step 2: Convert to fraction form
    31,195.13/47,924.16 = 47,924.16/x
  3. Step 3: Cross multiply
    31,195.13x = 47,924.16 × 47,924.16
  4. Step 4: Simplify right side
    31,195.13x = 2,296,724,752.27
  5. Step 5: Solve for x
    x = 2,296,724,752.27/31,195.13
  6. Step 6: Final answer
    x = 73,624.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.