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Finding the Third Proportional to 11,720.95 and 24,979.64

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Solution

The third proportional to 11,720.95 and 24,979.64 is: 53,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.95 : 24,979.64 = 24,979.64 : x
  2. Step 2: Convert to fraction form
    11,720.95/24,979.64 = 24,979.64/x
  3. Step 3: Cross multiply
    11,720.95x = 24,979.64 × 24,979.64
  4. Step 4: Simplify right side
    11,720.95x = 623,982,445.75
  5. Step 5: Solve for x
    x = 623,982,445.75/11,720.95
  6. Step 6: Final answer
    x = 53,236.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.