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Finding the Third Proportional to 39,569 and 86,482

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Solution

The third proportional to 39,569 and 86,482 is: 189,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569 : 86,482 = 86,482 : x
  2. Step 2: Convert to fraction form
    39,569/86,482 = 86,482/x
  3. Step 3: Cross multiply
    39,569x = 86,482 × 86,482
  4. Step 4: Simplify right side
    39,569x = 7,479,136,324
  5. Step 5: Solve for x
    x = 7,479,136,324/39,569
  6. Step 6: Final answer
    x = 189,015.05

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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.