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Finding the Third Proportional to 39,434 and 59,621

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Solution

The third proportional to 39,434 and 59,621 is: 90,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,434 : 59,621 = 59,621 : x
  2. Step 2: Convert to fraction form
    39,434/59,621 = 59,621/x
  3. Step 3: Cross multiply
    39,434x = 59,621 × 59,621
  4. Step 4: Simplify right side
    39,434x = 3,554,663,641
  5. Step 5: Solve for x
    x = 3,554,663,641/39,434
  6. Step 6: Final answer
    x = 90,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.