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Finding the Third Proportional to 1,061.95 and 1,640.30

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Solution

The third proportional to 1,061.95 and 1,640.30 is: 2,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.95 : 1,640.30 = 1,640.30 : x
  2. Step 2: Convert to fraction form
    1,061.95/1,640.30 = 1,640.30/x
  3. Step 3: Cross multiply
    1,061.95x = 1,640.30 × 1,640.30
  4. Step 4: Simplify right side
    1,061.95x = 2,690,573.84
  5. Step 5: Solve for x
    x = 2,690,573.84/1,061.95
  6. Step 6: Final answer
    x = 2,533.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.