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Finding the Third Proportional to 8,392.50 and 18,398.81

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Solution

The third proportional to 8,392.50 and 18,398.81 is: 40,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.50 : 18,398.81 = 18,398.81 : x
  2. Step 2: Convert to fraction form
    8,392.50/18,398.81 = 18,398.81/x
  3. Step 3: Cross multiply
    8,392.50x = 18,398.81 × 18,398.81
  4. Step 4: Simplify right side
    8,392.50x = 338,516,301.41
  5. Step 5: Solve for x
    x = 338,516,301.41/8,392.50
  6. Step 6: Final answer
    x = 40,335.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.