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Finding the Third Proportional to 20,302.88 and 42,827.06

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Solution

The third proportional to 20,302.88 and 42,827.06 is: 90,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.88 : 42,827.06 = 42,827.06 : x
  2. Step 2: Convert to fraction form
    20,302.88/42,827.06 = 42,827.06/x
  3. Step 3: Cross multiply
    20,302.88x = 42,827.06 × 42,827.06
  4. Step 4: Simplify right side
    20,302.88x = 1,834,157,282.38
  5. Step 5: Solve for x
    x = 1,834,157,282.38/20,302.88
  6. Step 6: Final answer
    x = 90,339.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.