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Finding the Third Proportional to 6,396.50 and 13,710.50

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Solution

The third proportional to 6,396.50 and 13,710.50 is: 29,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.50 : 13,710.50 = 13,710.50 : x
  2. Step 2: Convert to fraction form
    6,396.50/13,710.50 = 13,710.50/x
  3. Step 3: Cross multiply
    6,396.50x = 13,710.50 × 13,710.50
  4. Step 4: Simplify right side
    6,396.50x = 187,977,810.25
  5. Step 5: Solve for x
    x = 187,977,810.25/6,396.50
  6. Step 6: Final answer
    x = 29,387.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.