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Finding the Third Proportional to 10,213.25 and 14,064.25

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Solution

The third proportional to 10,213.25 and 14,064.25 is: 19,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.25 : 14,064.25 = 14,064.25 : x
  2. Step 2: Convert to fraction form
    10,213.25/14,064.25 = 14,064.25/x
  3. Step 3: Cross multiply
    10,213.25x = 14,064.25 × 14,064.25
  4. Step 4: Simplify right side
    10,213.25x = 197,803,128.06
  5. Step 5: Solve for x
    x = 197,803,128.06/10,213.25
  6. Step 6: Final answer
    x = 19,367.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.