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Finding the Third Proportional to 23,653.50 and 36,367.50

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Solution

The third proportional to 23,653.50 and 36,367.50 is: 55,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.50 : 36,367.50 = 36,367.50 : x
  2. Step 2: Convert to fraction form
    23,653.50/36,367.50 = 36,367.50/x
  3. Step 3: Cross multiply
    23,653.50x = 36,367.50 × 36,367.50
  4. Step 4: Simplify right side
    23,653.50x = 1,322,595,056.25
  5. Step 5: Solve for x
    x = 1,322,595,056.25/23,653.50
  6. Step 6: Final answer
    x = 55,915.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.