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Finding the Third Proportional to 13,697 and 29,159.25

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Solution

The third proportional to 13,697 and 29,159.25 is: 62,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697 : 29,159.25 = 29,159.25 : x
  2. Step 2: Convert to fraction form
    13,697/29,159.25 = 29,159.25/x
  3. Step 3: Cross multiply
    13,697x = 29,159.25 × 29,159.25
  4. Step 4: Simplify right side
    13,697x = 850,261,860.56
  5. Step 5: Solve for x
    x = 850,261,860.56/13,697
  6. Step 6: Final answer
    x = 62,076.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.