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Finding the Third Proportional to 24,188.91 and 56,914.31

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Solution

The third proportional to 24,188.91 and 56,914.31 is: 133,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.91 : 56,914.31 = 56,914.31 : x
  2. Step 2: Convert to fraction form
    24,188.91/56,914.31 = 56,914.31/x
  3. Step 3: Cross multiply
    24,188.91x = 56,914.31 × 56,914.31
  4. Step 4: Simplify right side
    24,188.91x = 3,239,238,967.35
  5. Step 5: Solve for x
    x = 3,239,238,967.35/24,188.91
  6. Step 6: Final answer
    x = 133,914.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.