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Finding the Third Proportional to 890.58 and 2,061.84

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Solution

The third proportional to 890.58 and 2,061.84 is: 4,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 2,061.84 = 2,061.84 : x
  2. Step 2: Convert to fraction form
    890.58/2,061.84 = 2,061.84/x
  3. Step 3: Cross multiply
    890.58x = 2,061.84 × 2,061.84
  4. Step 4: Simplify right side
    890.58x = 4,251,199.65
  5. Step 5: Solve for x
    x = 4,251,199.65/890.58
  6. Step 6: Final answer
    x = 4,773.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.