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Finding the Third Proportional to 16,896 and 26,000

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Solution

The third proportional to 16,896 and 26,000 is: 40,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896 : 26,000 = 26,000 : x
  2. Step 2: Convert to fraction form
    16,896/26,000 = 26,000/x
  3. Step 3: Cross multiply
    16,896x = 26,000 × 26,000
  4. Step 4: Simplify right side
    16,896x = 676,000,000
  5. Step 5: Solve for x
    x = 676,000,000/16,896
  6. Step 6: Final answer
    x = 40,009.47

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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.