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Finding the Third Proportional to 13,658.48 and 21,094.17

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Solution

The third proportional to 13,658.48 and 21,094.17 is: 32,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.48 : 21,094.17 = 21,094.17 : x
  2. Step 2: Convert to fraction form
    13,658.48/21,094.17 = 21,094.17/x
  3. Step 3: Cross multiply
    13,658.48x = 21,094.17 × 21,094.17
  4. Step 4: Simplify right side
    13,658.48x = 444,964,087.09
  5. Step 5: Solve for x
    x = 444,964,087.09/13,658.48
  6. Step 6: Final answer
    x = 32,577.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.