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Finding the Third Proportional to 897.72 and 1,385.38

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Solution

The third proportional to 897.72 and 1,385.38 is: 2,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.72 : 1,385.38 = 1,385.38 : x
  2. Step 2: Convert to fraction form
    897.72/1,385.38 = 1,385.38/x
  3. Step 3: Cross multiply
    897.72x = 1,385.38 × 1,385.38
  4. Step 4: Simplify right side
    897.72x = 1,919,290.95
  5. Step 5: Solve for x
    x = 1,919,290.95/897.72
  6. Step 6: Final answer
    x = 2,137.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.