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Finding the Third Proportional to 14,589 and 32,014.50

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Solution

The third proportional to 14,589 and 32,014.50 is: 70,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589 : 32,014.50 = 32,014.50 : x
  2. Step 2: Convert to fraction form
    14,589/32,014.50 = 32,014.50/x
  3. Step 3: Cross multiply
    14,589x = 32,014.50 × 32,014.50
  4. Step 4: Simplify right side
    14,589x = 1,024,928,210.25
  5. Step 5: Solve for x
    x = 1,024,928,210.25/14,589
  6. Step 6: Final answer
    x = 70,253.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.