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Finding the Third Proportional to 10,245.94 and 15,666.47

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Solution

The third proportional to 10,245.94 and 15,666.47 is: 23,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.94 : 15,666.47 = 15,666.47 : x
  2. Step 2: Convert to fraction form
    10,245.94/15,666.47 = 15,666.47/x
  3. Step 3: Cross multiply
    10,245.94x = 15,666.47 × 15,666.47
  4. Step 4: Simplify right side
    10,245.94x = 245,438,243.09
  5. Step 5: Solve for x
    x = 245,438,243.09/10,245.94
  6. Step 6: Final answer
    x = 23,954.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.