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Finding the Third Proportional to 9,878.50 and 23,319.25

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Solution

The third proportional to 9,878.50 and 23,319.25 is: 55,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.50 : 23,319.25 = 23,319.25 : x
  2. Step 2: Convert to fraction form
    9,878.50/23,319.25 = 23,319.25/x
  3. Step 3: Cross multiply
    9,878.50x = 23,319.25 × 23,319.25
  4. Step 4: Simplify right side
    9,878.50x = 543,787,420.56
  5. Step 5: Solve for x
    x = 543,787,420.56/9,878.50
  6. Step 6: Final answer
    x = 55,047.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.