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Finding the Third Proportional to 4,970.25 and 10,851

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Solution

The third proportional to 4,970.25 and 10,851 is: 23,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.25 : 10,851 = 10,851 : x
  2. Step 2: Convert to fraction form
    4,970.25/10,851 = 10,851/x
  3. Step 3: Cross multiply
    4,970.25x = 10,851 × 10,851
  4. Step 4: Simplify right side
    4,970.25x = 117,744,201
  5. Step 5: Solve for x
    x = 117,744,201/4,970.25
  6. Step 6: Final answer
    x = 23,689.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.