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Finding the Third Proportional to 6,988 and 16,106

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Solution

The third proportional to 6,988 and 16,106 is: 37,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988 : 16,106 = 16,106 : x
  2. Step 2: Convert to fraction form
    6,988/16,106 = 16,106/x
  3. Step 3: Cross multiply
    6,988x = 16,106 × 16,106
  4. Step 4: Simplify right side
    6,988x = 259,403,236
  5. Step 5: Solve for x
    x = 259,403,236/6,988
  6. Step 6: Final answer
    x = 37,121.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.