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Finding the Third Proportional to 16,007.63 and 25,145.44

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Solution

The third proportional to 16,007.63 and 25,145.44 is: 39,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.63 : 25,145.44 = 25,145.44 : x
  2. Step 2: Convert to fraction form
    16,007.63/25,145.44 = 25,145.44/x
  3. Step 3: Cross multiply
    16,007.63x = 25,145.44 × 25,145.44
  4. Step 4: Simplify right side
    16,007.63x = 632,293,027.07
  5. Step 5: Solve for x
    x = 632,293,027.07/16,007.63
  6. Step 6: Final answer
    x = 39,499.49

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Why These Related Problems?

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