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Finding the Third Proportional to 1,501.88 and 3,225.84

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Solution

The third proportional to 1,501.88 and 3,225.84 is: 6,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.88 : 3,225.84 = 3,225.84 : x
  2. Step 2: Convert to fraction form
    1,501.88/3,225.84 = 3,225.84/x
  3. Step 3: Cross multiply
    1,501.88x = 3,225.84 × 3,225.84
  4. Step 4: Simplify right side
    1,501.88x = 10,406,067.90
  5. Step 5: Solve for x
    x = 10,406,067.90/1,501.88
  6. Step 6: Final answer
    x = 6,928.72

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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.