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Finding the Third Proportional to 24,728 and 37,312

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Solution

The third proportional to 24,728 and 37,312 is: 56,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728 : 37,312 = 37,312 : x
  2. Step 2: Convert to fraction form
    24,728/37,312 = 37,312/x
  3. Step 3: Cross multiply
    24,728x = 37,312 × 37,312
  4. Step 4: Simplify right side
    24,728x = 1,392,185,344
  5. Step 5: Solve for x
    x = 1,392,185,344/24,728
  6. Step 6: Final answer
    x = 56,299.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.