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Finding the Third Proportional to 22,253 and 32,631

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Solution

The third proportional to 22,253 and 32,631 is: 47,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253 : 32,631 = 32,631 : x
  2. Step 2: Convert to fraction form
    22,253/32,631 = 32,631/x
  3. Step 3: Cross multiply
    22,253x = 32,631 × 32,631
  4. Step 4: Simplify right side
    22,253x = 1,064,782,161
  5. Step 5: Solve for x
    x = 1,064,782,161/22,253
  6. Step 6: Final answer
    x = 47,848.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.