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Finding the Third Proportional to 11,851.95 and 24,808.78

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Solution

The third proportional to 11,851.95 and 24,808.78 is: 51,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.95 : 24,808.78 = 24,808.78 : x
  2. Step 2: Convert to fraction form
    11,851.95/24,808.78 = 24,808.78/x
  3. Step 3: Cross multiply
    11,851.95x = 24,808.78 × 24,808.78
  4. Step 4: Simplify right side
    11,851.95x = 615,475,627.11
  5. Step 5: Solve for x
    x = 615,475,627.11/11,851.95
  6. Step 6: Final answer
    x = 51,930.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.