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Finding the Third Proportional to 10,980.75 and 24,147.75

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Solution

The third proportional to 10,980.75 and 24,147.75 is: 53,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.75 : 24,147.75 = 24,147.75 : x
  2. Step 2: Convert to fraction form
    10,980.75/24,147.75 = 24,147.75/x
  3. Step 3: Cross multiply
    10,980.75x = 24,147.75 × 24,147.75
  4. Step 4: Simplify right side
    10,980.75x = 583,113,830.06
  5. Step 5: Solve for x
    x = 583,113,830.06/10,980.75
  6. Step 6: Final answer
    x = 53,103.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.