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Finding the Third Proportional to 14,967 and 32,850

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Solution

The third proportional to 14,967 and 32,850 is: 72,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967 : 32,850 = 32,850 : x
  2. Step 2: Convert to fraction form
    14,967/32,850 = 32,850/x
  3. Step 3: Cross multiply
    14,967x = 32,850 × 32,850
  4. Step 4: Simplify right side
    14,967x = 1,079,122,500
  5. Step 5: Solve for x
    x = 1,079,122,500/14,967
  6. Step 6: Final answer
    x = 72,100.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.