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Finding the Third Proportional to 4,938.25 and 10,970

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Solution

The third proportional to 4,938.25 and 10,970 is: 24,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.25 : 10,970 = 10,970 : x
  2. Step 2: Convert to fraction form
    4,938.25/10,970 = 10,970/x
  3. Step 3: Cross multiply
    4,938.25x = 10,970 × 10,970
  4. Step 4: Simplify right side
    4,938.25x = 120,340,900
  5. Step 5: Solve for x
    x = 120,340,900/4,938.25
  6. Step 6: Final answer
    x = 24,369.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.