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Finding the Third Proportional to 30,249 and 63,920

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Solution

The third proportional to 30,249 and 63,920 is: 135,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249 : 63,920 = 63,920 : x
  2. Step 2: Convert to fraction form
    30,249/63,920 = 63,920/x
  3. Step 3: Cross multiply
    30,249x = 63,920 × 63,920
  4. Step 4: Simplify right side
    30,249x = 4,085,766,400
  5. Step 5: Solve for x
    x = 4,085,766,400/30,249
  6. Step 6: Final answer
    x = 135,071.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.