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Finding the Third Proportional to 7,334.30 and 9,606.09

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Solution

The third proportional to 7,334.30 and 9,606.09 is: 12,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.30 : 9,606.09 = 9,606.09 : x
  2. Step 2: Convert to fraction form
    7,334.30/9,606.09 = 9,606.09/x
  3. Step 3: Cross multiply
    7,334.30x = 9,606.09 × 9,606.09
  4. Step 4: Simplify right side
    7,334.30x = 92,277,037.13
  5. Step 5: Solve for x
    x = 92,277,037.13/7,334.30
  6. Step 6: Final answer
    x = 12,581.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.