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Finding the Third Proportional to 16,390.69 and 25,270.31

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Solution

The third proportional to 16,390.69 and 25,270.31 is: 38,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390.69 : 25,270.31 = 25,270.31 : x
  2. Step 2: Convert to fraction form
    16,390.69/25,270.31 = 25,270.31/x
  3. Step 3: Cross multiply
    16,390.69x = 25,270.31 × 25,270.31
  4. Step 4: Simplify right side
    16,390.69x = 638,588,693.85
  5. Step 5: Solve for x
    x = 638,588,693.85/16,390.69
  6. Step 6: Final answer
    x = 38,960.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.