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Finding the Third Proportional to 18,352 and 42,808

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Solution

The third proportional to 18,352 and 42,808 is: 99,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,352 : 42,808 = 42,808 : x
  2. Step 2: Convert to fraction form
    18,352/42,808 = 42,808/x
  3. Step 3: Cross multiply
    18,352x = 42,808 × 42,808
  4. Step 4: Simplify right side
    18,352x = 1,832,524,864
  5. Step 5: Solve for x
    x = 1,832,524,864/18,352
  6. Step 6: Final answer
    x = 99,854.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.