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Finding the Third Proportional to 24,664.50 and 38,530.69

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Solution

The third proportional to 24,664.50 and 38,530.69 is: 60,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.50 : 38,530.69 = 38,530.69 : x
  2. Step 2: Convert to fraction form
    24,664.50/38,530.69 = 38,530.69/x
  3. Step 3: Cross multiply
    24,664.50x = 38,530.69 × 38,530.69
  4. Step 4: Simplify right side
    24,664.50x = 1,484,613,879.22
  5. Step 5: Solve for x
    x = 1,484,613,879.22/24,664.50
  6. Step 6: Final answer
    x = 60,192.34

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.