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Finding the Third Proportional to 7,610 and 11,963

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Solution

The third proportional to 7,610 and 11,963 is: 18,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610 : 11,963 = 11,963 : x
  2. Step 2: Convert to fraction form
    7,610/11,963 = 11,963/x
  3. Step 3: Cross multiply
    7,610x = 11,963 × 11,963
  4. Step 4: Simplify right side
    7,610x = 143,113,369
  5. Step 5: Solve for x
    x = 143,113,369/7,610
  6. Step 6: Final answer
    x = 18,805.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.