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Finding the Third Proportional to 20,630 and 35,967

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Solution

The third proportional to 20,630 and 35,967 is: 62,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630 : 35,967 = 35,967 : x
  2. Step 2: Convert to fraction form
    20,630/35,967 = 35,967/x
  3. Step 3: Cross multiply
    20,630x = 35,967 × 35,967
  4. Step 4: Simplify right side
    20,630x = 1,293,625,089
  5. Step 5: Solve for x
    x = 1,293,625,089/20,630
  6. Step 6: Final answer
    x = 62,706.01

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.