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Finding the Third Proportional to 24,764.91 and 37,264.64

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Solution

The third proportional to 24,764.91 and 37,264.64 is: 56,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764.91 : 37,264.64 = 37,264.64 : x
  2. Step 2: Convert to fraction form
    24,764.91/37,264.64 = 37,264.64/x
  3. Step 3: Cross multiply
    24,764.91x = 37,264.64 × 37,264.64
  4. Step 4: Simplify right side
    24,764.91x = 1,388,653,440.91
  5. Step 5: Solve for x
    x = 1,388,653,440.91/24,764.91
  6. Step 6: Final answer
    x = 56,073.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.