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Finding the Third Proportional to 18,258 and 39,822

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Solution

The third proportional to 18,258 and 39,822 is: 86,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,258 : 39,822 = 39,822 : x
  2. Step 2: Convert to fraction form
    18,258/39,822 = 39,822/x
  3. Step 3: Cross multiply
    18,258x = 39,822 × 39,822
  4. Step 4: Simplify right side
    18,258x = 1,585,791,684
  5. Step 5: Solve for x
    x = 1,585,791,684/18,258
  6. Step 6: Final answer
    x = 86,854.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.