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Finding the Third Proportional to 13,617 and 29,380.50

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Solution

The third proportional to 13,617 and 29,380.50 is: 63,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617 : 29,380.50 = 29,380.50 : x
  2. Step 2: Convert to fraction form
    13,617/29,380.50 = 29,380.50/x
  3. Step 3: Cross multiply
    13,617x = 29,380.50 × 29,380.50
  4. Step 4: Simplify right side
    13,617x = 863,213,780.25
  5. Step 5: Solve for x
    x = 863,213,780.25/13,617
  6. Step 6: Final answer
    x = 63,392.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.