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Finding the Third Proportional to 8,470.50 and 13,089.75

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Solution

The third proportional to 8,470.50 and 13,089.75 is: 20,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.50 : 13,089.75 = 13,089.75 : x
  2. Step 2: Convert to fraction form
    8,470.50/13,089.75 = 13,089.75/x
  3. Step 3: Cross multiply
    8,470.50x = 13,089.75 × 13,089.75
  4. Step 4: Simplify right side
    8,470.50x = 171,341,555.06
  5. Step 5: Solve for x
    x = 171,341,555.06/8,470.50
  6. Step 6: Final answer
    x = 20,228.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.