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Finding the Third Proportional to 36,232 and 48,753

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Solution

The third proportional to 36,232 and 48,753 is: 65,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232 : 48,753 = 48,753 : x
  2. Step 2: Convert to fraction form
    36,232/48,753 = 48,753/x
  3. Step 3: Cross multiply
    36,232x = 48,753 × 48,753
  4. Step 4: Simplify right side
    36,232x = 2,376,855,009
  5. Step 5: Solve for x
    x = 2,376,855,009/36,232
  6. Step 6: Final answer
    x = 65,600.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.