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Finding the Third Proportional to 22,303 and 48,281

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Solution

The third proportional to 22,303 and 48,281 is: 104,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303 : 48,281 = 48,281 : x
  2. Step 2: Convert to fraction form
    22,303/48,281 = 48,281/x
  3. Step 3: Cross multiply
    22,303x = 48,281 × 48,281
  4. Step 4: Simplify right side
    22,303x = 2,331,054,961
  5. Step 5: Solve for x
    x = 2,331,054,961/22,303
  6. Step 6: Final answer
    x = 104,517.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.