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Finding the Third Proportional to 7,252.03 and 8,596.13

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Solution

The third proportional to 7,252.03 and 8,596.13 is: 10,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.03 : 8,596.13 = 8,596.13 : x
  2. Step 2: Convert to fraction form
    7,252.03/8,596.13 = 8,596.13/x
  3. Step 3: Cross multiply
    7,252.03x = 8,596.13 × 8,596.13
  4. Step 4: Simplify right side
    7,252.03x = 73,893,365.02
  5. Step 5: Solve for x
    x = 73,893,365.02/7,252.03
  6. Step 6: Final answer
    x = 10,189.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.