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Finding the Third Proportional to 9,019.69 and 13,528.69

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Solution

The third proportional to 9,019.69 and 13,528.69 is: 20,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.69 : 13,528.69 = 13,528.69 : x
  2. Step 2: Convert to fraction form
    9,019.69/13,528.69 = 13,528.69/x
  3. Step 3: Cross multiply
    9,019.69x = 13,528.69 × 13,528.69
  4. Step 4: Simplify right side
    9,019.69x = 183,025,385.47
  5. Step 5: Solve for x
    x = 183,025,385.47/9,019.69
  6. Step 6: Final answer
    x = 20,291.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.