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Finding the Third Proportional to 22,300.31 and 48,974.63

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Solution

The third proportional to 22,300.31 and 48,974.63 is: 107,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.31 : 48,974.63 = 48,974.63 : x
  2. Step 2: Convert to fraction form
    22,300.31/48,974.63 = 48,974.63/x
  3. Step 3: Cross multiply
    22,300.31x = 48,974.63 × 48,974.63
  4. Step 4: Simplify right side
    22,300.31x = 2,398,513,893.89
  5. Step 5: Solve for x
    x = 2,398,513,893.89/22,300.31
  6. Step 6: Final answer
    x = 107,555.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.