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Finding the Third Proportional to 6,500.25 and 14,035.78

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Solution

The third proportional to 6,500.25 and 14,035.78 is: 30,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 14,035.78 = 14,035.78 : x
  2. Step 2: Convert to fraction form
    6,500.25/14,035.78 = 14,035.78/x
  3. Step 3: Cross multiply
    6,500.25x = 14,035.78 × 14,035.78
  4. Step 4: Simplify right side
    6,500.25x = 197,003,155.30
  5. Step 5: Solve for x
    x = 197,003,155.30/6,500.25
  6. Step 6: Final answer
    x = 30,307.01

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