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Finding the Third Proportional to 23,664 and 36,805.50

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Solution

The third proportional to 23,664 and 36,805.50 is: 57,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 36,805.50 = 36,805.50 : x
  2. Step 2: Convert to fraction form
    23,664/36,805.50 = 36,805.50/x
  3. Step 3: Cross multiply
    23,664x = 36,805.50 × 36,805.50
  4. Step 4: Simplify right side
    23,664x = 1,354,644,830.25
  5. Step 5: Solve for x
    x = 1,354,644,830.25/23,664
  6. Step 6: Final answer
    x = 57,244.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.