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Finding the Third Proportional to 10,986 and 13,470

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Solution

The third proportional to 10,986 and 13,470 is: 16,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 13,470 = 13,470 : x
  2. Step 2: Convert to fraction form
    10,986/13,470 = 13,470/x
  3. Step 3: Cross multiply
    10,986x = 13,470 × 13,470
  4. Step 4: Simplify right side
    10,986x = 181,440,900
  5. Step 5: Solve for x
    x = 181,440,900/10,986
  6. Step 6: Final answer
    x = 16,515.65

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.