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Finding the Third Proportional to 14,859 and 32,999

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Solution

The third proportional to 14,859 and 32,999 is: 73,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859 : 32,999 = 32,999 : x
  2. Step 2: Convert to fraction form
    14,859/32,999 = 32,999/x
  3. Step 3: Cross multiply
    14,859x = 32,999 × 32,999
  4. Step 4: Simplify right side
    14,859x = 1,088,934,001
  5. Step 5: Solve for x
    x = 1,088,934,001/14,859
  6. Step 6: Final answer
    x = 73,284.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.