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Finding the Third Proportional to 6,944 and 16,070

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Solution

The third proportional to 6,944 and 16,070 is: 37,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 16,070 = 16,070 : x
  2. Step 2: Convert to fraction form
    6,944/16,070 = 16,070/x
  3. Step 3: Cross multiply
    6,944x = 16,070 × 16,070
  4. Step 4: Simplify right side
    6,944x = 258,244,900
  5. Step 5: Solve for x
    x = 258,244,900/6,944
  6. Step 6: Final answer
    x = 37,189.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.