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Finding the Third Proportional to 10,447.10 and 24,379.73

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Solution

The third proportional to 10,447.10 and 24,379.73 is: 56,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.10 : 24,379.73 = 24,379.73 : x
  2. Step 2: Convert to fraction form
    10,447.10/24,379.73 = 24,379.73/x
  3. Step 3: Cross multiply
    10,447.10x = 24,379.73 × 24,379.73
  4. Step 4: Simplify right side
    10,447.10x = 594,371,448.20
  5. Step 5: Solve for x
    x = 594,371,448.20/10,447.10
  6. Step 6: Final answer
    x = 56,893.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.