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Finding the Third Proportional to 39,405 and 86,466

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Solution

The third proportional to 39,405 and 86,466 is: 189,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 86,466 = 86,466 : x
  2. Step 2: Convert to fraction form
    39,405/86,466 = 86,466/x
  3. Step 3: Cross multiply
    39,405x = 86,466 × 86,466
  4. Step 4: Simplify right side
    39,405x = 7,476,369,156
  5. Step 5: Solve for x
    x = 7,476,369,156/39,405
  6. Step 6: Final answer
    x = 189,731.48

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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.