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Finding the Third Proportional to 6,016 and 9,607

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Solution

The third proportional to 6,016 and 9,607 is: 15,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016 : 9,607 = 9,607 : x
  2. Step 2: Convert to fraction form
    6,016/9,607 = 9,607/x
  3. Step 3: Cross multiply
    6,016x = 9,607 × 9,607
  4. Step 4: Simplify right side
    6,016x = 92,294,449
  5. Step 5: Solve for x
    x = 92,294,449/6,016
  6. Step 6: Final answer
    x = 15,341.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.