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Finding the Third Proportional to 24,808.78 and 33,428.64

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Solution

The third proportional to 24,808.78 and 33,428.64 is: 45,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.78 : 33,428.64 = 33,428.64 : x
  2. Step 2: Convert to fraction form
    24,808.78/33,428.64 = 33,428.64/x
  3. Step 3: Cross multiply
    24,808.78x = 33,428.64 × 33,428.64
  4. Step 4: Simplify right side
    24,808.78x = 1,117,473,752.87
  5. Step 5: Solve for x
    x = 1,117,473,752.87/24,808.78
  6. Step 6: Final answer
    x = 45,043.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.