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Finding the Third Proportional to 7,420 and 16,910

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Solution

The third proportional to 7,420 and 16,910 is: 38,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 16,910 = 16,910 : x
  2. Step 2: Convert to fraction form
    7,420/16,910 = 16,910/x
  3. Step 3: Cross multiply
    7,420x = 16,910 × 16,910
  4. Step 4: Simplify right side
    7,420x = 285,948,100
  5. Step 5: Solve for x
    x = 285,948,100/7,420
  6. Step 6: Final answer
    x = 38,537.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.