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Finding the Third Proportional to 16,078 and 24,728

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Solution

The third proportional to 16,078 and 24,728 is: 38,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078 : 24,728 = 24,728 : x
  2. Step 2: Convert to fraction form
    16,078/24,728 = 24,728/x
  3. Step 3: Cross multiply
    16,078x = 24,728 × 24,728
  4. Step 4: Simplify right side
    16,078x = 611,473,984
  5. Step 5: Solve for x
    x = 611,473,984/16,078
  6. Step 6: Final answer
    x = 38,031.72

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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.