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Finding the Third Proportional to 22,974.89 and 34,684.45

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Solution

The third proportional to 22,974.89 and 34,684.45 is: 52,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.89 : 34,684.45 = 34,684.45 : x
  2. Step 2: Convert to fraction form
    22,974.89/34,684.45 = 34,684.45/x
  3. Step 3: Cross multiply
    22,974.89x = 34,684.45 × 34,684.45
  4. Step 4: Simplify right side
    22,974.89x = 1,203,011,288.58
  5. Step 5: Solve for x
    x = 1,203,011,288.58/22,974.89
  6. Step 6: Final answer
    x = 52,362.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.