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Finding the Third Proportional to 1,346.88 and 2,021.95

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Solution

The third proportional to 1,346.88 and 2,021.95 is: 3,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.88 : 2,021.95 = 2,021.95 : x
  2. Step 2: Convert to fraction form
    1,346.88/2,021.95 = 2,021.95/x
  3. Step 3: Cross multiply
    1,346.88x = 2,021.95 × 2,021.95
  4. Step 4: Simplify right side
    1,346.88x = 4,088,294.44
  5. Step 5: Solve for x
    x = 4,088,294.44/1,346.88
  6. Step 6: Final answer
    x = 3,035.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.