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Finding the Third Proportional to 31,159.69 and 36,627.19

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Solution

The third proportional to 31,159.69 and 36,627.19 is: 43,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.69 : 36,627.19 = 36,627.19 : x
  2. Step 2: Convert to fraction form
    31,159.69/36,627.19 = 36,627.19/x
  3. Step 3: Cross multiply
    31,159.69x = 36,627.19 × 36,627.19
  4. Step 4: Simplify right side
    31,159.69x = 1,341,550,864.16
  5. Step 5: Solve for x
    x = 1,341,550,864.16/31,159.69
  6. Step 6: Final answer
    x = 43,054.05

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.