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Finding the Third Proportional to 22,002.75 and 48,109.50

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Solution

The third proportional to 22,002.75 and 48,109.50 is: 105,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.75 : 48,109.50 = 48,109.50 : x
  2. Step 2: Convert to fraction form
    22,002.75/48,109.50 = 48,109.50/x
  3. Step 3: Cross multiply
    22,002.75x = 48,109.50 × 48,109.50
  4. Step 4: Simplify right side
    22,002.75x = 2,314,523,990.25
  5. Step 5: Solve for x
    x = 2,314,523,990.25/22,002.75
  6. Step 6: Final answer
    x = 105,192.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.