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Finding the Third Proportional to 14,970 and 32,857

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Solution

The third proportional to 14,970 and 32,857 is: 72,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970 : 32,857 = 32,857 : x
  2. Step 2: Convert to fraction form
    14,970/32,857 = 32,857/x
  3. Step 3: Cross multiply
    14,970x = 32,857 × 32,857
  4. Step 4: Simplify right side
    14,970x = 1,079,582,449
  5. Step 5: Solve for x
    x = 1,079,582,449/14,970
  6. Step 6: Final answer
    x = 72,116.40

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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.