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Finding the Third Proportional to 1,388.71 and 2,172.76

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Solution

The third proportional to 1,388.71 and 2,172.76 is: 3,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.71 : 2,172.76 = 2,172.76 : x
  2. Step 2: Convert to fraction form
    1,388.71/2,172.76 = 2,172.76/x
  3. Step 3: Cross multiply
    1,388.71x = 2,172.76 × 2,172.76
  4. Step 4: Simplify right side
    1,388.71x = 4,720,893.49
  5. Step 5: Solve for x
    x = 4,720,893.49/1,388.71
  6. Step 6: Final answer
    x = 3,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.