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Finding the Third Proportional to 17,830.88 and 27,594.56

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Solution

The third proportional to 17,830.88 and 27,594.56 is: 42,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.88 : 27,594.56 = 27,594.56 : x
  2. Step 2: Convert to fraction form
    17,830.88/27,594.56 = 27,594.56/x
  3. Step 3: Cross multiply
    17,830.88x = 27,594.56 × 27,594.56
  4. Step 4: Simplify right side
    17,830.88x = 761,459,879.57
  5. Step 5: Solve for x
    x = 761,459,879.57/17,830.88
  6. Step 6: Final answer
    x = 42,704.57

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