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Finding the Third Proportional to 3,897.49 and 8,024.70

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Solution

The third proportional to 3,897.49 and 8,024.70 is: 16,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.49 : 8,024.70 = 8,024.70 : x
  2. Step 2: Convert to fraction form
    3,897.49/8,024.70 = 8,024.70/x
  3. Step 3: Cross multiply
    3,897.49x = 8,024.70 × 8,024.70
  4. Step 4: Simplify right side
    3,897.49x = 64,395,734.86
  5. Step 5: Solve for x
    x = 64,395,734.86/3,897.49
  6. Step 6: Final answer
    x = 16,522.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.