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Finding the Third Proportional to 7,998 and 17,582

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Solution

The third proportional to 7,998 and 17,582 is: 38,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 17,582 = 17,582 : x
  2. Step 2: Convert to fraction form
    7,998/17,582 = 17,582/x
  3. Step 3: Cross multiply
    7,998x = 17,582 × 17,582
  4. Step 4: Simplify right side
    7,998x = 309,126,724
  5. Step 5: Solve for x
    x = 309,126,724/7,998
  6. Step 6: Final answer
    x = 38,650.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.