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Finding the Third Proportional to 2,415.66 and 3,446.30

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Solution

The third proportional to 2,415.66 and 3,446.30 is: 4,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.66 : 3,446.30 = 3,446.30 : x
  2. Step 2: Convert to fraction form
    2,415.66/3,446.30 = 3,446.30/x
  3. Step 3: Cross multiply
    2,415.66x = 3,446.30 × 3,446.30
  4. Step 4: Simplify right side
    2,415.66x = 11,876,962.15
  5. Step 5: Solve for x
    x = 11,876,962.15/2,415.66
  6. Step 6: Final answer
    x = 4,916.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.