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Finding the Third Proportional to 10,284.47 and 15,519.09

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Solution

The third proportional to 10,284.47 and 15,519.09 is: 23,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.47 : 15,519.09 = 15,519.09 : x
  2. Step 2: Convert to fraction form
    10,284.47/15,519.09 = 15,519.09/x
  3. Step 3: Cross multiply
    10,284.47x = 15,519.09 × 15,519.09
  4. Step 4: Simplify right side
    10,284.47x = 240,842,270.82
  5. Step 5: Solve for x
    x = 240,842,270.82/10,284.47
  6. Step 6: Final answer
    x = 23,418.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.