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Finding the Third Proportional to 17,228.32 and 19,577.64

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Solution

The third proportional to 17,228.32 and 19,577.64 is: 22,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.32 : 19,577.64 = 19,577.64 : x
  2. Step 2: Convert to fraction form
    17,228.32/19,577.64 = 19,577.64/x
  3. Step 3: Cross multiply
    17,228.32x = 19,577.64 × 19,577.64
  4. Step 4: Simplify right side
    17,228.32x = 383,283,859.49
  5. Step 5: Solve for x
    x = 383,283,859.49/17,228.32
  6. Step 6: Final answer
    x = 22,247.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.