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Finding the Third Proportional to 22,213 and 48,437

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Solution

The third proportional to 22,213 and 48,437 is: 105,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213 : 48,437 = 48,437 : x
  2. Step 2: Convert to fraction form
    22,213/48,437 = 48,437/x
  3. Step 3: Cross multiply
    22,213x = 48,437 × 48,437
  4. Step 4: Simplify right side
    22,213x = 2,346,142,969
  5. Step 5: Solve for x
    x = 2,346,142,969/22,213
  6. Step 6: Final answer
    x = 105,620.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.