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Finding the Third Proportional to 7,982 and 18,866.50

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Solution

The third proportional to 7,982 and 18,866.50 is: 44,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982 : 18,866.50 = 18,866.50 : x
  2. Step 2: Convert to fraction form
    7,982/18,866.50 = 18,866.50/x
  3. Step 3: Cross multiply
    7,982x = 18,866.50 × 18,866.50
  4. Step 4: Simplify right side
    7,982x = 355,944,822.25
  5. Step 5: Solve for x
    x = 355,944,822.25/7,982
  6. Step 6: Final answer
    x = 44,593.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.