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Finding the Third Proportional to 7,116 and 16,614

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Solution

The third proportional to 7,116 and 16,614 is: 38,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116 : 16,614 = 16,614 : x
  2. Step 2: Convert to fraction form
    7,116/16,614 = 16,614/x
  3. Step 3: Cross multiply
    7,116x = 16,614 × 16,614
  4. Step 4: Simplify right side
    7,116x = 276,024,996
  5. Step 5: Solve for x
    x = 276,024,996/7,116
  6. Step 6: Final answer
    x = 38,789.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.