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Finding the Third Proportional to 22,301 and 48,010

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Solution

The third proportional to 22,301 and 48,010 is: 103,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301 : 48,010 = 48,010 : x
  2. Step 2: Convert to fraction form
    22,301/48,010 = 48,010/x
  3. Step 3: Cross multiply
    22,301x = 48,010 × 48,010
  4. Step 4: Simplify right side
    22,301x = 2,304,960,100
  5. Step 5: Solve for x
    x = 2,304,960,100/22,301
  6. Step 6: Final answer
    x = 103,356.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.