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Finding the Third Proportional to 22,244 and 52,506

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Solution

The third proportional to 22,244 and 52,506 is: 123,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,244 : 52,506 = 52,506 : x
  2. Step 2: Convert to fraction form
    22,244/52,506 = 52,506/x
  3. Step 3: Cross multiply
    22,244x = 52,506 × 52,506
  4. Step 4: Simplify right side
    22,244x = 2,756,880,036
  5. Step 5: Solve for x
    x = 2,756,880,036/22,244
  6. Step 6: Final answer
    x = 123,938.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.