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Finding the Third Proportional to 13,047 and 30,793.50

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Solution

The third proportional to 13,047 and 30,793.50 is: 72,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047 : 30,793.50 = 30,793.50 : x
  2. Step 2: Convert to fraction form
    13,047/30,793.50 = 30,793.50/x
  3. Step 3: Cross multiply
    13,047x = 30,793.50 × 30,793.50
  4. Step 4: Simplify right side
    13,047x = 948,239,642.25
  5. Step 5: Solve for x
    x = 948,239,642.25/13,047
  6. Step 6: Final answer
    x = 72,678.75

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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.