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Finding the Third Proportional to 4,000.64 and 8,593.59

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Solution

The third proportional to 4,000.64 and 8,593.59 is: 18,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.64 : 8,593.59 = 8,593.59 : x
  2. Step 2: Convert to fraction form
    4,000.64/8,593.59 = 8,593.59/x
  3. Step 3: Cross multiply
    4,000.64x = 8,593.59 × 8,593.59
  4. Step 4: Simplify right side
    4,000.64x = 73,849,853.54
  5. Step 5: Solve for x
    x = 73,849,853.54/4,000.64
  6. Step 6: Final answer
    x = 18,459.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.