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Finding the Third Proportional to 9,749 and 21,137

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Solution

The third proportional to 9,749 and 21,137 is: 45,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749 : 21,137 = 21,137 : x
  2. Step 2: Convert to fraction form
    9,749/21,137 = 21,137/x
  3. Step 3: Cross multiply
    9,749x = 21,137 × 21,137
  4. Step 4: Simplify right side
    9,749x = 446,772,769
  5. Step 5: Solve for x
    x = 446,772,769/9,749
  6. Step 6: Final answer
    x = 45,827.55

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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.