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Finding the Third Proportional to 18,157 and 39,707

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Solution

The third proportional to 18,157 and 39,707 is: 86,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,157 : 39,707 = 39,707 : x
  2. Step 2: Convert to fraction form
    18,157/39,707 = 39,707/x
  3. Step 3: Cross multiply
    18,157x = 39,707 × 39,707
  4. Step 4: Simplify right side
    18,157x = 1,576,645,849
  5. Step 5: Solve for x
    x = 1,576,645,849/18,157
  6. Step 6: Final answer
    x = 86,834.05

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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.