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Finding the Third Proportional to 10,296 and 22,056

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Solution

The third proportional to 10,296 and 22,056 is: 47,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 22,056 = 22,056 : x
  2. Step 2: Convert to fraction form
    10,296/22,056 = 22,056/x
  3. Step 3: Cross multiply
    10,296x = 22,056 × 22,056
  4. Step 4: Simplify right side
    10,296x = 486,467,136
  5. Step 5: Solve for x
    x = 486,467,136/10,296
  6. Step 6: Final answer
    x = 47,248.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.