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Finding the Third Proportional to 13,569.19 and 21,007.69

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Solution

The third proportional to 13,569.19 and 21,007.69 is: 32,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.19 : 21,007.69 = 21,007.69 : x
  2. Step 2: Convert to fraction form
    13,569.19/21,007.69 = 21,007.69/x
  3. Step 3: Cross multiply
    13,569.19x = 21,007.69 × 21,007.69
  4. Step 4: Simplify right side
    13,569.19x = 441,322,934.10
  5. Step 5: Solve for x
    x = 441,322,934.10/13,569.19
  6. Step 6: Final answer
    x = 32,523.90

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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.