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Finding the Third Proportional to 16,388 and 24,737

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Solution

The third proportional to 16,388 and 24,737 is: 37,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388 : 24,737 = 24,737 : x
  2. Step 2: Convert to fraction form
    16,388/24,737 = 24,737/x
  3. Step 3: Cross multiply
    16,388x = 24,737 × 24,737
  4. Step 4: Simplify right side
    16,388x = 611,919,169
  5. Step 5: Solve for x
    x = 611,919,169/16,388
  6. Step 6: Final answer
    x = 37,339.47

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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.