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Finding the Third Proportional to 7,388.63 and 16,007.63

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Solution

The third proportional to 7,388.63 and 16,007.63 is: 34,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.63 : 16,007.63 = 16,007.63 : x
  2. Step 2: Convert to fraction form
    7,388.63/16,007.63 = 16,007.63/x
  3. Step 3: Cross multiply
    7,388.63x = 16,007.63 × 16,007.63
  4. Step 4: Simplify right side
    7,388.63x = 256,244,058.14
  5. Step 5: Solve for x
    x = 256,244,058.14/7,388.63
  6. Step 6: Final answer
    x = 34,680.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.