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Finding the Third Proportional to 11,339.44 and 24,319.13

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Solution

The third proportional to 11,339.44 and 24,319.13 is: 52,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.44 : 24,319.13 = 24,319.13 : x
  2. Step 2: Convert to fraction form
    11,339.44/24,319.13 = 24,319.13/x
  3. Step 3: Cross multiply
    11,339.44x = 24,319.13 × 24,319.13
  4. Step 4: Simplify right side
    11,339.44x = 591,419,840.77
  5. Step 5: Solve for x
    x = 591,419,840.77/11,339.44
  6. Step 6: Final answer
    x = 52,156.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.