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Finding the Third Proportional to 7,998.75 and 17,347.50

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Solution

The third proportional to 7,998.75 and 17,347.50 is: 37,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 17,347.50 = 17,347.50 : x
  2. Step 2: Convert to fraction form
    7,998.75/17,347.50 = 17,347.50/x
  3. Step 3: Cross multiply
    7,998.75x = 17,347.50 × 17,347.50
  4. Step 4: Simplify right side
    7,998.75x = 300,935,756.25
  5. Step 5: Solve for x
    x = 300,935,756.25/7,998.75
  6. Step 6: Final answer
    x = 37,622.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.