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Finding the Third Proportional to 9,856 and 14,749

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Solution

The third proportional to 9,856 and 14,749 is: 22,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 14,749 = 14,749 : x
  2. Step 2: Convert to fraction form
    9,856/14,749 = 14,749/x
  3. Step 3: Cross multiply
    9,856x = 14,749 × 14,749
  4. Step 4: Simplify right side
    9,856x = 217,533,001
  5. Step 5: Solve for x
    x = 217,533,001/9,856
  6. Step 6: Final answer
    x = 22,071.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.