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Finding the Third Proportional to 7,667.37 and 16,509.23

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Solution

The third proportional to 7,667.37 and 16,509.23 is: 35,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.37 : 16,509.23 = 16,509.23 : x
  2. Step 2: Convert to fraction form
    7,667.37/16,509.23 = 16,509.23/x
  3. Step 3: Cross multiply
    7,667.37x = 16,509.23 × 16,509.23
  4. Step 4: Simplify right side
    7,667.37x = 272,554,819.65
  5. Step 5: Solve for x
    x = 272,554,819.65/7,667.37
  6. Step 6: Final answer
    x = 35,547.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.