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Finding the Third Proportional to 22,182.31 and 48,379.06

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Solution

The third proportional to 22,182.31 and 48,379.06 is: 105,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.31 : 48,379.06 = 48,379.06 : x
  2. Step 2: Convert to fraction form
    22,182.31/48,379.06 = 48,379.06/x
  3. Step 3: Cross multiply
    22,182.31x = 48,379.06 × 48,379.06
  4. Step 4: Simplify right side
    22,182.31x = 2,340,533,688.38
  5. Step 5: Solve for x
    x = 2,340,533,688.38/22,182.31
  6. Step 6: Final answer
    x = 105,513.51

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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.