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Finding the Third Proportional to 2,586.94 and 6,077.53

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Solution

The third proportional to 2,586.94 and 6,077.53 is: 14,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.94 : 6,077.53 = 6,077.53 : x
  2. Step 2: Convert to fraction form
    2,586.94/6,077.53 = 6,077.53/x
  3. Step 3: Cross multiply
    2,586.94x = 6,077.53 × 6,077.53
  4. Step 4: Simplify right side
    2,586.94x = 36,936,386.09
  5. Step 5: Solve for x
    x = 36,936,386.09/2,586.94
  6. Step 6: Final answer
    x = 14,278.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.