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Finding the Third Proportional to 22,989 and 36,601.50

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Solution

The third proportional to 22,989 and 36,601.50 is: 58,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989 : 36,601.50 = 36,601.50 : x
  2. Step 2: Convert to fraction form
    22,989/36,601.50 = 36,601.50/x
  3. Step 3: Cross multiply
    22,989x = 36,601.50 × 36,601.50
  4. Step 4: Simplify right side
    22,989x = 1,339,669,802.25
  5. Step 5: Solve for x
    x = 1,339,669,802.25/22,989
  6. Step 6: Final answer
    x = 58,274.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.