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Finding the Third Proportional to 22,285.69 and 48,569.63

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Solution

The third proportional to 22,285.69 and 48,569.63 is: 105,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.69 : 48,569.63 = 48,569.63 : x
  2. Step 2: Convert to fraction form
    22,285.69/48,569.63 = 48,569.63/x
  3. Step 3: Cross multiply
    22,285.69x = 48,569.63 × 48,569.63
  4. Step 4: Simplify right side
    22,285.69x = 2,359,008,472.64
  5. Step 5: Solve for x
    x = 2,359,008,472.64/22,285.69
  6. Step 6: Final answer
    x = 105,853.07

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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.