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Finding the Third Proportional to 889.52 and 1,281.18

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Solution

The third proportional to 889.52 and 1,281.18 is: 1,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.52 : 1,281.18 = 1,281.18 : x
  2. Step 2: Convert to fraction form
    889.52/1,281.18 = 1,281.18/x
  3. Step 3: Cross multiply
    889.52x = 1,281.18 × 1,281.18
  4. Step 4: Simplify right side
    889.52x = 1,641,426.40
  5. Step 5: Solve for x
    x = 1,641,426.40/889.52
  6. Step 6: Final answer
    x = 1,845.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.