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Finding the Third Proportional to 22,310 and 44,056

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Solution

The third proportional to 22,310 and 44,056 is: 86,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310 : 44,056 = 44,056 : x
  2. Step 2: Convert to fraction form
    22,310/44,056 = 44,056/x
  3. Step 3: Cross multiply
    22,310x = 44,056 × 44,056
  4. Step 4: Simplify right side
    22,310x = 1,940,931,136
  5. Step 5: Solve for x
    x = 1,940,931,136/22,310
  6. Step 6: Final answer
    x = 86,998.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.