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Finding the Third Proportional to 22,641.75 and 30,178.13

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Solution

The third proportional to 22,641.75 and 30,178.13 is: 40,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.75 : 30,178.13 = 30,178.13 : x
  2. Step 2: Convert to fraction form
    22,641.75/30,178.13 = 30,178.13/x
  3. Step 3: Cross multiply
    22,641.75x = 30,178.13 × 30,178.13
  4. Step 4: Simplify right side
    22,641.75x = 910,719,228.52
  5. Step 5: Solve for x
    x = 910,719,228.52/22,641.75
  6. Step 6: Final answer
    x = 40,223.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.