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Finding the Third Proportional to 39,410 and 58,979

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Solution

The third proportional to 39,410 and 58,979 is: 88,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 58,979 = 58,979 : x
  2. Step 2: Convert to fraction form
    39,410/58,979 = 58,979/x
  3. Step 3: Cross multiply
    39,410x = 58,979 × 58,979
  4. Step 4: Simplify right side
    39,410x = 3,478,522,441
  5. Step 5: Solve for x
    x = 3,478,522,441/39,410
  6. Step 6: Final answer
    x = 88,264.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.