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Finding the Third Proportional to 14,797 and 32,101

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Solution

The third proportional to 14,797 and 32,101 is: 69,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797 : 32,101 = 32,101 : x
  2. Step 2: Convert to fraction form
    14,797/32,101 = 32,101/x
  3. Step 3: Cross multiply
    14,797x = 32,101 × 32,101
  4. Step 4: Simplify right side
    14,797x = 1,030,474,201
  5. Step 5: Solve for x
    x = 1,030,474,201/14,797
  6. Step 6: Final answer
    x = 69,640.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.