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Finding the Third Proportional to 22,007 and 53,231

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Solution

The third proportional to 22,007 and 53,231 is: 128,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007 : 53,231 = 53,231 : x
  2. Step 2: Convert to fraction form
    22,007/53,231 = 53,231/x
  3. Step 3: Cross multiply
    22,007x = 53,231 × 53,231
  4. Step 4: Simplify right side
    22,007x = 2,833,539,361
  5. Step 5: Solve for x
    x = 2,833,539,361/22,007
  6. Step 6: Final answer
    x = 128,756.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.