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Finding the Third Proportional to 24,820 and 36,500

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Solution

The third proportional to 24,820 and 36,500 is: 53,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 36,500 = 36,500 : x
  2. Step 2: Convert to fraction form
    24,820/36,500 = 36,500/x
  3. Step 3: Cross multiply
    24,820x = 36,500 × 36,500
  4. Step 4: Simplify right side
    24,820x = 1,332,250,000
  5. Step 5: Solve for x
    x = 1,332,250,000/24,820
  6. Step 6: Final answer
    x = 53,676.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.