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Finding the Third Proportional to 7,737 and 11,061

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Solution

The third proportional to 7,737 and 11,061 is: 15,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 11,061 = 11,061 : x
  2. Step 2: Convert to fraction form
    7,737/11,061 = 11,061/x
  3. Step 3: Cross multiply
    7,737x = 11,061 × 11,061
  4. Step 4: Simplify right side
    7,737x = 122,345,721
  5. Step 5: Solve for x
    x = 122,345,721/7,737
  6. Step 6: Final answer
    x = 15,813.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.