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Finding the Third Proportional to 36,020 and 47,797

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Solution

The third proportional to 36,020 and 47,797 is: 63,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,020 : 47,797 = 47,797 : x
  2. Step 2: Convert to fraction form
    36,020/47,797 = 47,797/x
  3. Step 3: Cross multiply
    36,020x = 47,797 × 47,797
  4. Step 4: Simplify right side
    36,020x = 2,284,553,209
  5. Step 5: Solve for x
    x = 2,284,553,209/36,020
  6. Step 6: Final answer
    x = 63,424.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.