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Finding the Third Proportional to 1,502.03 and 3,235.17

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Solution

The third proportional to 1,502.03 and 3,235.17 is: 6,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.03 : 3,235.17 = 3,235.17 : x
  2. Step 2: Convert to fraction form
    1,502.03/3,235.17 = 3,235.17/x
  3. Step 3: Cross multiply
    1,502.03x = 3,235.17 × 3,235.17
  4. Step 4: Simplify right side
    1,502.03x = 10,466,313.37
  5. Step 5: Solve for x
    x = 10,466,313.37/1,502.03
  6. Step 6: Final answer
    x = 6,968.13

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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.