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Finding the Third Proportional to 10,352.63 and 13,793.06

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Solution

The third proportional to 10,352.63 and 13,793.06 is: 18,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.63 : 13,793.06 = 13,793.06 : x
  2. Step 2: Convert to fraction form
    10,352.63/13,793.06 = 13,793.06/x
  3. Step 3: Cross multiply
    10,352.63x = 13,793.06 × 13,793.06
  4. Step 4: Simplify right side
    10,352.63x = 190,248,573.13
  5. Step 5: Solve for x
    x = 190,248,573.13/10,352.63
  6. Step 6: Final answer
    x = 18,376.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.