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Finding the Third Proportional to 9,702.28 and 20,788.31

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Solution

The third proportional to 9,702.28 and 20,788.31 is: 44,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.28 : 20,788.31 = 20,788.31 : x
  2. Step 2: Convert to fraction form
    9,702.28/20,788.31 = 20,788.31/x
  3. Step 3: Cross multiply
    9,702.28x = 20,788.31 × 20,788.31
  4. Step 4: Simplify right side
    9,702.28x = 432,153,936.60
  5. Step 5: Solve for x
    x = 432,153,936.60/9,702.28
  6. Step 6: Final answer
    x = 44,541.48

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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.