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Finding the Third Proportional to 5,301 and 8,037

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Solution

The third proportional to 5,301 and 8,037 is: 12,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301 : 8,037 = 8,037 : x
  2. Step 2: Convert to fraction form
    5,301/8,037 = 8,037/x
  3. Step 3: Cross multiply
    5,301x = 8,037 × 8,037
  4. Step 4: Simplify right side
    5,301x = 64,593,369
  5. Step 5: Solve for x
    x = 64,593,369/5,301
  6. Step 6: Final answer
    x = 12,185.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.