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Finding the Third Proportional to 885.52 and 1,295.37

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Solution

The third proportional to 885.52 and 1,295.37 is: 1,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.52 : 1,295.37 = 1,295.37 : x
  2. Step 2: Convert to fraction form
    885.52/1,295.37 = 1,295.37/x
  3. Step 3: Cross multiply
    885.52x = 1,295.37 × 1,295.37
  4. Step 4: Simplify right side
    885.52x = 1,677,976.15
  5. Step 5: Solve for x
    x = 1,677,976.15/885.52
  6. Step 6: Final answer
    x = 1,894.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.