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Finding the Third Proportional to 8,710 and 19,056

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Solution

The third proportional to 8,710 and 19,056 is: 41,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710 : 19,056 = 19,056 : x
  2. Step 2: Convert to fraction form
    8,710/19,056 = 19,056/x
  3. Step 3: Cross multiply
    8,710x = 19,056 × 19,056
  4. Step 4: Simplify right side
    8,710x = 363,131,136
  5. Step 5: Solve for x
    x = 363,131,136/8,710
  6. Step 6: Final answer
    x = 41,691.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.