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Finding the Third Proportional to 26,298 and 56,334

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Solution

The third proportional to 26,298 and 56,334 is: 120,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 56,334 = 56,334 : x
  2. Step 2: Convert to fraction form
    26,298/56,334 = 56,334/x
  3. Step 3: Cross multiply
    26,298x = 56,334 × 56,334
  4. Step 4: Simplify right side
    26,298x = 3,173,519,556
  5. Step 5: Solve for x
    x = 3,173,519,556/26,298
  6. Step 6: Final answer
    x = 120,675.32

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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.