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Finding the Third Proportional to 16,887 and 26,213

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Solution

The third proportional to 16,887 and 26,213 is: 40,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887 : 26,213 = 26,213 : x
  2. Step 2: Convert to fraction form
    16,887/26,213 = 26,213/x
  3. Step 3: Cross multiply
    16,887x = 26,213 × 26,213
  4. Step 4: Simplify right side
    16,887x = 687,121,369
  5. Step 5: Solve for x
    x = 687,121,369/16,887
  6. Step 6: Final answer
    x = 40,689.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.