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Finding the Third Proportional to 24,102.56 and 35,212.22

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Solution

The third proportional to 24,102.56 and 35,212.22 is: 51,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.56 : 35,212.22 = 35,212.22 : x
  2. Step 2: Convert to fraction form
    24,102.56/35,212.22 = 35,212.22/x
  3. Step 3: Cross multiply
    24,102.56x = 35,212.22 × 35,212.22
  4. Step 4: Simplify right side
    24,102.56x = 1,239,900,349.30
  5. Step 5: Solve for x
    x = 1,239,900,349.30/24,102.56
  6. Step 6: Final answer
    x = 51,442.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.