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Finding the Third Proportional to 1,564.03 and 3,400.31

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Solution

The third proportional to 1,564.03 and 3,400.31 is: 7,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.03 : 3,400.31 = 3,400.31 : x
  2. Step 2: Convert to fraction form
    1,564.03/3,400.31 = 3,400.31/x
  3. Step 3: Cross multiply
    1,564.03x = 3,400.31 × 3,400.31
  4. Step 4: Simplify right side
    1,564.03x = 11,562,125.10
  5. Step 5: Solve for x
    x = 11,562,125.10/1,564.03
  6. Step 6: Final answer
    x = 7,392.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.