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Finding the Third Proportional to 13,071 and 30,851.50

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Solution

The third proportional to 13,071 and 30,851.50 is: 72,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071 : 30,851.50 = 30,851.50 : x
  2. Step 2: Convert to fraction form
    13,071/30,851.50 = 30,851.50/x
  3. Step 3: Cross multiply
    13,071x = 30,851.50 × 30,851.50
  4. Step 4: Simplify right side
    13,071x = 951,815,052.25
  5. Step 5: Solve for x
    x = 951,815,052.25/13,071
  6. Step 6: Final answer
    x = 72,818.84

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Why These Related Problems?

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