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Finding the Third Proportional to 14,369.63 and 21,007.69

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Solution

The third proportional to 14,369.63 and 21,007.69 is: 30,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.63 : 21,007.69 = 21,007.69 : x
  2. Step 2: Convert to fraction form
    14,369.63/21,007.69 = 21,007.69/x
  3. Step 3: Cross multiply
    14,369.63x = 21,007.69 × 21,007.69
  4. Step 4: Simplify right side
    14,369.63x = 441,322,934.10
  5. Step 5: Solve for x
    x = 441,322,934.10/14,369.63
  6. Step 6: Final answer
    x = 30,712.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.