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Finding the Third Proportional to 7,419.09 and 16,008.57

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Solution

The third proportional to 7,419.09 and 16,008.57 is: 34,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.09 : 16,008.57 = 16,008.57 : x
  2. Step 2: Convert to fraction form
    7,419.09/16,008.57 = 16,008.57/x
  3. Step 3: Cross multiply
    7,419.09x = 16,008.57 × 16,008.57
  4. Step 4: Simplify right side
    7,419.09x = 256,274,448.52
  5. Step 5: Solve for x
    x = 256,274,448.52/7,419.09
  6. Step 6: Final answer
    x = 34,542.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.