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Finding the Third Proportional to 20,169 and 43,117.31

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Solution

The third proportional to 20,169 and 43,117.31 is: 92,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 43,117.31 = 43,117.31 : x
  2. Step 2: Convert to fraction form
    20,169/43,117.31 = 43,117.31/x
  3. Step 3: Cross multiply
    20,169x = 43,117.31 × 43,117.31
  4. Step 4: Simplify right side
    20,169x = 1,859,102,637.22
  5. Step 5: Solve for x
    x = 1,859,102,637.22/20,169
  6. Step 6: Final answer
    x = 92,176.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.