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Finding the Third Proportional to 13,702.45 and 30,023.31

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Solution

The third proportional to 13,702.45 and 30,023.31 is: 65,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.45 : 30,023.31 = 30,023.31 : x
  2. Step 2: Convert to fraction form
    13,702.45/30,023.31 = 30,023.31/x
  3. Step 3: Cross multiply
    13,702.45x = 30,023.31 × 30,023.31
  4. Step 4: Simplify right side
    13,702.45x = 901,399,410.75
  5. Step 5: Solve for x
    x = 901,399,410.75/13,702.45
  6. Step 6: Final answer
    x = 65,783.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.