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Finding the Third Proportional to 39,410 and 84,360

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Solution

The third proportional to 39,410 and 84,360 is: 180,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 84,360 = 84,360 : x
  2. Step 2: Convert to fraction form
    39,410/84,360 = 84,360/x
  3. Step 3: Cross multiply
    39,410x = 84,360 × 84,360
  4. Step 4: Simplify right side
    39,410x = 7,116,609,600
  5. Step 5: Solve for x
    x = 7,116,609,600/39,410
  6. Step 6: Final answer
    x = 180,578.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.