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Finding the Third Proportional to 17,800.88 and 42,020.77

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Solution

The third proportional to 17,800.88 and 42,020.77 is: 99,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.88 : 42,020.77 = 42,020.77 : x
  2. Step 2: Convert to fraction form
    17,800.88/42,020.77 = 42,020.77/x
  3. Step 3: Cross multiply
    17,800.88x = 42,020.77 × 42,020.77
  4. Step 4: Simplify right side
    17,800.88x = 1,765,744,743.71
  5. Step 5: Solve for x
    x = 1,765,744,743.71/17,800.88
  6. Step 6: Final answer
    x = 99,194.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.