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Finding the Third Proportional to 9,724 and 14,221

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Solution

The third proportional to 9,724 and 14,221 is: 20,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 14,221 = 14,221 : x
  2. Step 2: Convert to fraction form
    9,724/14,221 = 14,221/x
  3. Step 3: Cross multiply
    9,724x = 14,221 × 14,221
  4. Step 4: Simplify right side
    9,724x = 202,236,841
  5. Step 5: Solve for x
    x = 202,236,841/9,724
  6. Step 6: Final answer
    x = 20,797.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.