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Finding the Third Proportional to 26,298 and 39,460

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Solution

The third proportional to 26,298 and 39,460 is: 59,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 39,460 = 39,460 : x
  2. Step 2: Convert to fraction form
    26,298/39,460 = 39,460/x
  3. Step 3: Cross multiply
    26,298x = 39,460 × 39,460
  4. Step 4: Simplify right side
    26,298x = 1,557,091,600
  5. Step 5: Solve for x
    x = 1,557,091,600/26,298
  6. Step 6: Final answer
    x = 59,209.51

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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.