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Finding the Third Proportional to 10,281.94 and 15,379.24

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Solution

The third proportional to 10,281.94 and 15,379.24 is: 23,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.94 : 15,379.24 = 15,379.24 : x
  2. Step 2: Convert to fraction form
    10,281.94/15,379.24 = 15,379.24/x
  3. Step 3: Cross multiply
    10,281.94x = 15,379.24 × 15,379.24
  4. Step 4: Simplify right side
    10,281.94x = 236,521,090.26
  5. Step 5: Solve for x
    x = 236,521,090.26/10,281.94
  6. Step 6: Final answer
    x = 23,003.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.