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Finding the Third Proportional to 24,186.66 and 37,358.44

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Solution

The third proportional to 24,186.66 and 37,358.44 is: 57,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.66 : 37,358.44 = 37,358.44 : x
  2. Step 2: Convert to fraction form
    24,186.66/37,358.44 = 37,358.44/x
  3. Step 3: Cross multiply
    24,186.66x = 37,358.44 × 37,358.44
  4. Step 4: Simplify right side
    24,186.66x = 1,395,652,852.44
  5. Step 5: Solve for x
    x = 1,395,652,852.44/24,186.66
  6. Step 6: Final answer
    x = 57,703.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.