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Finding the Third Proportional to 7,551 and 10,984.50

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Solution

The third proportional to 7,551 and 10,984.50 is: 15,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551 : 10,984.50 = 10,984.50 : x
  2. Step 2: Convert to fraction form
    7,551/10,984.50 = 10,984.50/x
  3. Step 3: Cross multiply
    7,551x = 10,984.50 × 10,984.50
  4. Step 4: Simplify right side
    7,551x = 120,659,240.25
  5. Step 5: Solve for x
    x = 120,659,240.25/7,551
  6. Step 6: Final answer
    x = 15,979.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.