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Finding the Third Proportional to 22,457.25 and 48,898.69

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Solution

The third proportional to 22,457.25 and 48,898.69 is: 106,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.25 : 48,898.69 = 48,898.69 : x
  2. Step 2: Convert to fraction form
    22,457.25/48,898.69 = 48,898.69/x
  3. Step 3: Cross multiply
    22,457.25x = 48,898.69 × 48,898.69
  4. Step 4: Simplify right side
    22,457.25x = 2,391,081,639.22
  5. Step 5: Solve for x
    x = 2,391,081,639.22/22,457.25
  6. Step 6: Final answer
    x = 106,472.59

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