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Finding the Third Proportional to 7,449.47 and 17,588.39

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Solution

The third proportional to 7,449.47 and 17,588.39 is: 41,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.47 : 17,588.39 = 17,588.39 : x
  2. Step 2: Convert to fraction form
    7,449.47/17,588.39 = 17,588.39/x
  3. Step 3: Cross multiply
    7,449.47x = 17,588.39 × 17,588.39
  4. Step 4: Simplify right side
    7,449.47x = 309,351,484.78
  5. Step 5: Solve for x
    x = 309,351,484.78/7,449.47
  6. Step 6: Final answer
    x = 41,526.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.