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Finding the Third Proportional to 23,376.50 and 35,344.50

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Solution

The third proportional to 23,376.50 and 35,344.50 is: 53,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.50 : 35,344.50 = 35,344.50 : x
  2. Step 2: Convert to fraction form
    23,376.50/35,344.50 = 35,344.50/x
  3. Step 3: Cross multiply
    23,376.50x = 35,344.50 × 35,344.50
  4. Step 4: Simplify right side
    23,376.50x = 1,249,233,680.25
  5. Step 5: Solve for x
    x = 1,249,233,680.25/23,376.50
  6. Step 6: Final answer
    x = 53,439.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.