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Finding the Third Proportional to 20,032.31 and 42,843.94

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Solution

The third proportional to 20,032.31 and 42,843.94 is: 91,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.31 : 42,843.94 = 42,843.94 : x
  2. Step 2: Convert to fraction form
    20,032.31/42,843.94 = 42,843.94/x
  3. Step 3: Cross multiply
    20,032.31x = 42,843.94 × 42,843.94
  4. Step 4: Simplify right side
    20,032.31x = 1,835,602,980.50
  5. Step 5: Solve for x
    x = 1,835,602,980.50/20,032.31
  6. Step 6: Final answer
    x = 91,632.11

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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.