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Finding the Third Proportional to 22,475 and 48,914.50

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Solution

The third proportional to 22,475 and 48,914.50 is: 106,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475 : 48,914.50 = 48,914.50 : x
  2. Step 2: Convert to fraction form
    22,475/48,914.50 = 48,914.50/x
  3. Step 3: Cross multiply
    22,475x = 48,914.50 × 48,914.50
  4. Step 4: Simplify right side
    22,475x = 2,392,628,310.25
  5. Step 5: Solve for x
    x = 2,392,628,310.25/22,475
  6. Step 6: Final answer
    x = 106,457.32

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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.