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Finding the Third Proportional to 6,325 and 9,935.50

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Solution

The third proportional to 6,325 and 9,935.50 is: 15,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325 : 9,935.50 = 9,935.50 : x
  2. Step 2: Convert to fraction form
    6,325/9,935.50 = 9,935.50/x
  3. Step 3: Cross multiply
    6,325x = 9,935.50 × 9,935.50
  4. Step 4: Simplify right side
    6,325x = 98,714,160.25
  5. Step 5: Solve for x
    x = 98,714,160.25/6,325
  6. Step 6: Final answer
    x = 15,606.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.