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Finding the Third Proportional to 22,857.75 and 30,329.81

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Solution

The third proportional to 22,857.75 and 30,329.81 is: 40,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.75 : 30,329.81 = 30,329.81 : x
  2. Step 2: Convert to fraction form
    22,857.75/30,329.81 = 30,329.81/x
  3. Step 3: Cross multiply
    22,857.75x = 30,329.81 × 30,329.81
  4. Step 4: Simplify right side
    22,857.75x = 919,897,526.29
  5. Step 5: Solve for x
    x = 919,897,526.29/22,857.75
  6. Step 6: Final answer
    x = 40,244.45

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Why These Related Problems?

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