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Finding the Third Proportional to 9,793.88 and 14,712.56

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Solution

The third proportional to 9,793.88 and 14,712.56 is: 22,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.88 : 14,712.56 = 14,712.56 : x
  2. Step 2: Convert to fraction form
    9,793.88/14,712.56 = 14,712.56/x
  3. Step 3: Cross multiply
    9,793.88x = 14,712.56 × 14,712.56
  4. Step 4: Simplify right side
    9,793.88x = 216,459,495.32
  5. Step 5: Solve for x
    x = 216,459,495.32/9,793.88
  6. Step 6: Final answer
    x = 22,101.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.