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Finding the Third Proportional to 23,310 and 26,982

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Solution

The third proportional to 23,310 and 26,982 is: 31,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310 : 26,982 = 26,982 : x
  2. Step 2: Convert to fraction form
    23,310/26,982 = 26,982/x
  3. Step 3: Cross multiply
    23,310x = 26,982 × 26,982
  4. Step 4: Simplify right side
    23,310x = 728,028,324
  5. Step 5: Solve for x
    x = 728,028,324/23,310
  6. Step 6: Final answer
    x = 31,232.45

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.