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Finding the Third Proportional to 885.62 and 1,905.08

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Solution

The third proportional to 885.62 and 1,905.08 is: 4,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.62 : 1,905.08 = 1,905.08 : x
  2. Step 2: Convert to fraction form
    885.62/1,905.08 = 1,905.08/x
  3. Step 3: Cross multiply
    885.62x = 1,905.08 × 1,905.08
  4. Step 4: Simplify right side
    885.62x = 3,629,337.55
  5. Step 5: Solve for x
    x = 3,629,337.55/885.62
  6. Step 6: Final answer
    x = 4,098.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.