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Finding the Third Proportional to 13,146.89 and 20,395.69

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Solution

The third proportional to 13,146.89 and 20,395.69 is: 31,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.89 : 20,395.69 = 20,395.69 : x
  2. Step 2: Convert to fraction form
    13,146.89/20,395.69 = 20,395.69/x
  3. Step 3: Cross multiply
    13,146.89x = 20,395.69 × 20,395.69
  4. Step 4: Simplify right side
    13,146.89x = 415,984,068.60
  5. Step 5: Solve for x
    x = 415,984,068.60/13,146.89
  6. Step 6: Final answer
    x = 31,641.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.