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Finding the Third Proportional to 11,510 and 19,407

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Solution

The third proportional to 11,510 and 19,407 is: 32,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510 : 19,407 = 19,407 : x
  2. Step 2: Convert to fraction form
    11,510/19,407 = 19,407/x
  3. Step 3: Cross multiply
    11,510x = 19,407 × 19,407
  4. Step 4: Simplify right side
    11,510x = 376,631,649
  5. Step 5: Solve for x
    x = 376,631,649/11,510
  6. Step 6: Final answer
    x = 32,722.12

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.