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Finding the Third Proportional to 10,986 and 16,905

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Solution

The third proportional to 10,986 and 16,905 is: 26,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 16,905 = 16,905 : x
  2. Step 2: Convert to fraction form
    10,986/16,905 = 16,905/x
  3. Step 3: Cross multiply
    10,986x = 16,905 × 16,905
  4. Step 4: Simplify right side
    10,986x = 285,779,025
  5. Step 5: Solve for x
    x = 285,779,025/10,986
  6. Step 6: Final answer
    x = 26,013.02

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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.