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Finding the Third Proportional to 24,388.50 and 37,596

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Solution

The third proportional to 24,388.50 and 37,596 is: 57,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.50 : 37,596 = 37,596 : x
  2. Step 2: Convert to fraction form
    24,388.50/37,596 = 37,596/x
  3. Step 3: Cross multiply
    24,388.50x = 37,596 × 37,596
  4. Step 4: Simplify right side
    24,388.50x = 1,413,459,216
  5. Step 5: Solve for x
    x = 1,413,459,216/24,388.50
  6. Step 6: Final answer
    x = 57,955.97

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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.