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Finding the Third Proportional to 6,500.25 and 13,810.50

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Solution

The third proportional to 6,500.25 and 13,810.50 is: 29,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 13,810.50 = 13,810.50 : x
  2. Step 2: Convert to fraction form
    6,500.25/13,810.50 = 13,810.50/x
  3. Step 3: Cross multiply
    6,500.25x = 13,810.50 × 13,810.50
  4. Step 4: Simplify right side
    6,500.25x = 190,729,910.25
  5. Step 5: Solve for x
    x = 190,729,910.25/6,500.25
  6. Step 6: Final answer
    x = 29,341.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.