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Finding the Third Proportional to 39,411 and 87,569

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Solution

The third proportional to 39,411 and 87,569 is: 194,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,411 : 87,569 = 87,569 : x
  2. Step 2: Convert to fraction form
    39,411/87,569 = 87,569/x
  3. Step 3: Cross multiply
    39,411x = 87,569 × 87,569
  4. Step 4: Simplify right side
    39,411x = 7,668,329,761
  5. Step 5: Solve for x
    x = 7,668,329,761/39,411
  6. Step 6: Final answer
    x = 194,573.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.