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Finding the Third Proportional to 22,312.13 and 48,297.94

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Solution

The third proportional to 22,312.13 and 48,297.94 is: 104,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.13 : 48,297.94 = 48,297.94 : x
  2. Step 2: Convert to fraction form
    22,312.13/48,297.94 = 48,297.94/x
  3. Step 3: Cross multiply
    22,312.13x = 48,297.94 × 48,297.94
  4. Step 4: Simplify right side
    22,312.13x = 2,332,690,766.75
  5. Step 5: Solve for x
    x = 2,332,690,766.75/22,312.13
  6. Step 6: Final answer
    x = 104,548.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.