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Finding the Third Proportional to 6,301 and 7,705

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Solution

The third proportional to 6,301 and 7,705 is: 9,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301 : 7,705 = 7,705 : x
  2. Step 2: Convert to fraction form
    6,301/7,705 = 7,705/x
  3. Step 3: Cross multiply
    6,301x = 7,705 × 7,705
  4. Step 4: Simplify right side
    6,301x = 59,367,025
  5. Step 5: Solve for x
    x = 59,367,025/6,301
  6. Step 6: Final answer
    x = 9,421.84

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.