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Finding the Third Proportional to 1,650 and 3,535

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Solution

The third proportional to 1,650 and 3,535 is: 7,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 3,535 = 3,535 : x
  2. Step 2: Convert to fraction form
    1,650/3,535 = 3,535/x
  3. Step 3: Cross multiply
    1,650x = 3,535 × 3,535
  4. Step 4: Simplify right side
    1,650x = 12,496,225
  5. Step 5: Solve for x
    x = 12,496,225/1,650
  6. Step 6: Final answer
    x = 7,573.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.