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Finding the Third Proportional to 7,669.69 and 16,412.63

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Solution

The third proportional to 7,669.69 and 16,412.63 is: 35,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 16,412.63 = 16,412.63 : x
  2. Step 2: Convert to fraction form
    7,669.69/16,412.63 = 16,412.63/x
  3. Step 3: Cross multiply
    7,669.69x = 16,412.63 × 16,412.63
  4. Step 4: Simplify right side
    7,669.69x = 269,374,259.39
  5. Step 5: Solve for x
    x = 269,374,259.39/7,669.69
  6. Step 6: Final answer
    x = 35,121.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.