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Finding the Third Proportional to 13,071 and 19,915.50

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Solution

The third proportional to 13,071 and 19,915.50 is: 30,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071 : 19,915.50 = 19,915.50 : x
  2. Step 2: Convert to fraction form
    13,071/19,915.50 = 19,915.50/x
  3. Step 3: Cross multiply
    13,071x = 19,915.50 × 19,915.50
  4. Step 4: Simplify right side
    13,071x = 396,627,140.25
  5. Step 5: Solve for x
    x = 396,627,140.25/13,071
  6. Step 6: Final answer
    x = 30,344.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.