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Finding the Third Proportional to 895.22 and 1,358.44

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Solution

The third proportional to 895.22 and 1,358.44 is: 2,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.22 : 1,358.44 = 1,358.44 : x
  2. Step 2: Convert to fraction form
    895.22/1,358.44 = 1,358.44/x
  3. Step 3: Cross multiply
    895.22x = 1,358.44 × 1,358.44
  4. Step 4: Simplify right side
    895.22x = 1,845,352.44
  5. Step 5: Solve for x
    x = 1,845,352.44/895.22
  6. Step 6: Final answer
    x = 2,061.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.