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Finding the Third Proportional to 13,373.25 and 21,194.63

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Solution

The third proportional to 13,373.25 and 21,194.63 is: 33,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.25 : 21,194.63 = 21,194.63 : x
  2. Step 2: Convert to fraction form
    13,373.25/21,194.63 = 21,194.63/x
  3. Step 3: Cross multiply
    13,373.25x = 21,194.63 × 21,194.63
  4. Step 4: Simplify right side
    13,373.25x = 449,212,128.89
  5. Step 5: Solve for x
    x = 449,212,128.89/13,373.25
  6. Step 6: Final answer
    x = 33,590.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.