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Finding the Third Proportional to 22,977 and 36,652.50

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Solution

The third proportional to 22,977 and 36,652.50 is: 58,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 36,652.50 = 36,652.50 : x
  2. Step 2: Convert to fraction form
    22,977/36,652.50 = 36,652.50/x
  3. Step 3: Cross multiply
    22,977x = 36,652.50 × 36,652.50
  4. Step 4: Simplify right side
    22,977x = 1,343,405,756.25
  5. Step 5: Solve for x
    x = 1,343,405,756.25/22,977
  6. Step 6: Final answer
    x = 58,467.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.