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Finding the Third Proportional to 895.43 and 1,388.39

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Solution

The third proportional to 895.43 and 1,388.39 is: 2,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.43 : 1,388.39 = 1,388.39 : x
  2. Step 2: Convert to fraction form
    895.43/1,388.39 = 1,388.39/x
  3. Step 3: Cross multiply
    895.43x = 1,388.39 × 1,388.39
  4. Step 4: Simplify right side
    895.43x = 1,927,628.53
  5. Step 5: Solve for x
    x = 1,927,628.53/895.43
  6. Step 6: Final answer
    x = 2,152.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.