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Finding the Third Proportional to 39,410 and 60,859

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Solution

The third proportional to 39,410 and 60,859 is: 93,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 60,859 = 60,859 : x
  2. Step 2: Convert to fraction form
    39,410/60,859 = 60,859/x
  3. Step 3: Cross multiply
    39,410x = 60,859 × 60,859
  4. Step 4: Simplify right side
    39,410x = 3,703,817,881
  5. Step 5: Solve for x
    x = 3,703,817,881/39,410
  6. Step 6: Final answer
    x = 93,981.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.