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Finding the Third Proportional to 4,597.25 and 6,499.75

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Solution

The third proportional to 4,597.25 and 6,499.75 is: 9,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.25 : 6,499.75 = 6,499.75 : x
  2. Step 2: Convert to fraction form
    4,597.25/6,499.75 = 6,499.75/x
  3. Step 3: Cross multiply
    4,597.25x = 6,499.75 × 6,499.75
  4. Step 4: Simplify right side
    4,597.25x = 42,246,750.06
  5. Step 5: Solve for x
    x = 42,246,750.06/4,597.25
  6. Step 6: Final answer
    x = 9,189.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.