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Finding the Third Proportional to 7,753.50 and 9,956.25

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Solution

The third proportional to 7,753.50 and 9,956.25 is: 12,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.50 : 9,956.25 = 9,956.25 : x
  2. Step 2: Convert to fraction form
    7,753.50/9,956.25 = 9,956.25/x
  3. Step 3: Cross multiply
    7,753.50x = 9,956.25 × 9,956.25
  4. Step 4: Simplify right side
    7,753.50x = 99,126,914.06
  5. Step 5: Solve for x
    x = 99,126,914.06/7,753.50
  6. Step 6: Final answer
    x = 12,784.80

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.