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Finding the Third Proportional to 14,969.81 and 23,464.69

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Solution

The third proportional to 14,969.81 and 23,464.69 is: 36,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.81 : 23,464.69 = 23,464.69 : x
  2. Step 2: Convert to fraction form
    14,969.81/23,464.69 = 23,464.69/x
  3. Step 3: Cross multiply
    14,969.81x = 23,464.69 × 23,464.69
  4. Step 4: Simplify right side
    14,969.81x = 550,591,559.47
  5. Step 5: Solve for x
    x = 550,591,559.47/14,969.81
  6. Step 6: Final answer
    x = 36,780.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.