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Finding the Third Proportional to 19,518.47 and 42,314.91

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Solution

The third proportional to 19,518.47 and 42,314.91 is: 91,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518.47 : 42,314.91 = 42,314.91 : x
  2. Step 2: Convert to fraction form
    19,518.47/42,314.91 = 42,314.91/x
  3. Step 3: Cross multiply
    19,518.47x = 42,314.91 × 42,314.91
  4. Step 4: Simplify right side
    19,518.47x = 1,790,551,290.95
  5. Step 5: Solve for x
    x = 1,790,551,290.95/19,518.47
  6. Step 6: Final answer
    x = 91,736.26

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