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Finding the Third Proportional to 10,974 and 16,985

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Solution

The third proportional to 10,974 and 16,985 is: 26,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 16,985 = 16,985 : x
  2. Step 2: Convert to fraction form
    10,974/16,985 = 16,985/x
  3. Step 3: Cross multiply
    10,974x = 16,985 × 16,985
  4. Step 4: Simplify right side
    10,974x = 288,490,225
  5. Step 5: Solve for x
    x = 288,490,225/10,974
  6. Step 6: Final answer
    x = 26,288.52

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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.