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Finding the Third Proportional to 36,725 and 48,499

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Solution

The third proportional to 36,725 and 48,499 is: 64,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,725 : 48,499 = 48,499 : x
  2. Step 2: Convert to fraction form
    36,725/48,499 = 48,499/x
  3. Step 3: Cross multiply
    36,725x = 48,499 × 48,499
  4. Step 4: Simplify right side
    36,725x = 2,352,153,001
  5. Step 5: Solve for x
    x = 2,352,153,001/36,725
  6. Step 6: Final answer
    x = 64,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.