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Finding the Third Proportional to 20,032.88 and 42,845.06

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Solution

The third proportional to 20,032.88 and 42,845.06 is: 91,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.88 : 42,845.06 = 42,845.06 : x
  2. Step 2: Convert to fraction form
    20,032.88/42,845.06 = 42,845.06/x
  3. Step 3: Cross multiply
    20,032.88x = 42,845.06 × 42,845.06
  4. Step 4: Simplify right side
    20,032.88x = 1,835,699,380.63
  5. Step 5: Solve for x
    x = 1,835,699,380.63/20,032.88
  6. Step 6: Final answer
    x = 91,634.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.