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Finding the Third Proportional to 10,160.44 and 24,416.44

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Solution

The third proportional to 10,160.44 and 24,416.44 is: 58,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.44 : 24,416.44 = 24,416.44 : x
  2. Step 2: Convert to fraction form
    10,160.44/24,416.44 = 24,416.44/x
  3. Step 3: Cross multiply
    10,160.44x = 24,416.44 × 24,416.44
  4. Step 4: Simplify right side
    10,160.44x = 596,162,420.19
  5. Step 5: Solve for x
    x = 596,162,420.19/10,160.44
  6. Step 6: Final answer
    x = 58,674.88

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.