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Finding the Third Proportional to 7,669.69 and 15,514.03

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Solution

The third proportional to 7,669.69 and 15,514.03 is: 31,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 15,514.03 = 15,514.03 : x
  2. Step 2: Convert to fraction form
    7,669.69/15,514.03 = 15,514.03/x
  3. Step 3: Cross multiply
    7,669.69x = 15,514.03 × 15,514.03
  4. Step 4: Simplify right side
    7,669.69x = 240,685,165.63
  5. Step 5: Solve for x
    x = 240,685,165.63/7,669.69
  6. Step 6: Final answer
    x = 31,381.35

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.