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Finding the Third Proportional to 2,035.13 and 3,595.64

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Solution

The third proportional to 2,035.13 and 3,595.64 is: 6,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 3,595.64 = 3,595.64 : x
  2. Step 2: Convert to fraction form
    2,035.13/3,595.64 = 3,595.64/x
  3. Step 3: Cross multiply
    2,035.13x = 3,595.64 × 3,595.64
  4. Step 4: Simplify right side
    2,035.13x = 12,928,631.50
  5. Step 5: Solve for x
    x = 12,928,631.50/2,035.13
  6. Step 6: Final answer
    x = 6,352.75

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.