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Finding the Third Proportional to 24,808.78 and 53,769.45

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Solution

The third proportional to 24,808.78 and 53,769.45 is: 116,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.78 : 53,769.45 = 53,769.45 : x
  2. Step 2: Convert to fraction form
    24,808.78/53,769.45 = 53,769.45/x
  3. Step 3: Cross multiply
    24,808.78x = 53,769.45 × 53,769.45
  4. Step 4: Simplify right side
    24,808.78x = 2,891,153,249.21
  5. Step 5: Solve for x
    x = 2,891,153,249.21/24,808.78
  6. Step 6: Final answer
    x = 116,537.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.