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Finding the Third Proportional to 9,708.75 and 12,314.25

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Solution

The third proportional to 9,708.75 and 12,314.25 is: 15,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.75 : 12,314.25 = 12,314.25 : x
  2. Step 2: Convert to fraction form
    9,708.75/12,314.25 = 12,314.25/x
  3. Step 3: Cross multiply
    9,708.75x = 12,314.25 × 12,314.25
  4. Step 4: Simplify right side
    9,708.75x = 151,640,753.06
  5. Step 5: Solve for x
    x = 151,640,753.06/9,708.75
  6. Step 6: Final answer
    x = 15,618.98

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.