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Finding the Third Proportional to 30,416 and 38,928

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Solution

The third proportional to 30,416 and 38,928 is: 49,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 38,928 = 38,928 : x
  2. Step 2: Convert to fraction form
    30,416/38,928 = 38,928/x
  3. Step 3: Cross multiply
    30,416x = 38,928 × 38,928
  4. Step 4: Simplify right side
    30,416x = 1,515,389,184
  5. Step 5: Solve for x
    x = 1,515,389,184/30,416
  6. Step 6: Final answer
    x = 49,822.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.