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Finding the Third Proportional to 16,064 and 38,720

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Solution

The third proportional to 16,064 and 38,720 is: 93,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064 : 38,720 = 38,720 : x
  2. Step 2: Convert to fraction form
    16,064/38,720 = 38,720/x
  3. Step 3: Cross multiply
    16,064x = 38,720 × 38,720
  4. Step 4: Simplify right side
    16,064x = 1,499,238,400
  5. Step 5: Solve for x
    x = 1,499,238,400/16,064
  6. Step 6: Final answer
    x = 93,329.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.