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Finding the Third Proportional to 22,309.59 and 48,507.19

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Solution

The third proportional to 22,309.59 and 48,507.19 is: 105,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.59 : 48,507.19 = 48,507.19 : x
  2. Step 2: Convert to fraction form
    22,309.59/48,507.19 = 48,507.19/x
  3. Step 3: Cross multiply
    22,309.59x = 48,507.19 × 48,507.19
  4. Step 4: Simplify right side
    22,309.59x = 2,352,947,239.16
  5. Step 5: Solve for x
    x = 2,352,947,239.16/22,309.59
  6. Step 6: Final answer
    x = 105,467.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.