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Finding the Third Proportional to 14,052 and 32,001

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Solution

The third proportional to 14,052 and 32,001 is: 72,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052 : 32,001 = 32,001 : x
  2. Step 2: Convert to fraction form
    14,052/32,001 = 32,001/x
  3. Step 3: Cross multiply
    14,052x = 32,001 × 32,001
  4. Step 4: Simplify right side
    14,052x = 1,024,064,001
  5. Step 5: Solve for x
    x = 1,024,064,001/14,052
  6. Step 6: Final answer
    x = 72,876.74

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.