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Finding the Third Proportional to 13,672.13 and 21,740.06

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Solution

The third proportional to 13,672.13 and 21,740.06 is: 34,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.13 : 21,740.06 = 21,740.06 : x
  2. Step 2: Convert to fraction form
    13,672.13/21,740.06 = 21,740.06/x
  3. Step 3: Cross multiply
    13,672.13x = 21,740.06 × 21,740.06
  4. Step 4: Simplify right side
    13,672.13x = 472,630,317.50
  5. Step 5: Solve for x
    x = 472,630,317.50/13,672.13
  6. Step 6: Final answer
    x = 34,568.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.