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Finding the Third Proportional to 6,465 and 14,201.25

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Solution

The third proportional to 6,465 and 14,201.25 is: 31,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465 : 14,201.25 = 14,201.25 : x
  2. Step 2: Convert to fraction form
    6,465/14,201.25 = 14,201.25/x
  3. Step 3: Cross multiply
    6,465x = 14,201.25 × 14,201.25
  4. Step 4: Simplify right side
    6,465x = 201,675,501.56
  5. Step 5: Solve for x
    x = 201,675,501.56/6,465
  6. Step 6: Final answer
    x = 31,194.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.