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Finding the Third Proportional to 13,658.63 and 21,094.31

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Solution

The third proportional to 13,658.63 and 21,094.31 is: 32,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.63 : 21,094.31 = 21,094.31 : x
  2. Step 2: Convert to fraction form
    13,658.63/21,094.31 = 21,094.31/x
  3. Step 3: Cross multiply
    13,658.63x = 21,094.31 × 21,094.31
  4. Step 4: Simplify right side
    13,658.63x = 444,970,019.85
  5. Step 5: Solve for x
    x = 444,970,019.85/13,658.63
  6. Step 6: Final answer
    x = 32,577.95

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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.