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Finding the Third Proportional to 21,738.38 and 29,117.81

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Solution

The third proportional to 21,738.38 and 29,117.81 is: 39,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.38 : 29,117.81 = 29,117.81 : x
  2. Step 2: Convert to fraction form
    21,738.38/29,117.81 = 29,117.81/x
  3. Step 3: Cross multiply
    21,738.38x = 29,117.81 × 29,117.81
  4. Step 4: Simplify right side
    21,738.38x = 847,847,004.79
  5. Step 5: Solve for x
    x = 847,847,004.79/21,738.38
  6. Step 6: Final answer
    x = 39,002.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.