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Finding the Third Proportional to 10,011.50 and 14,421.25

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Solution

The third proportional to 10,011.50 and 14,421.25 is: 20,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.50 : 14,421.25 = 14,421.25 : x
  2. Step 2: Convert to fraction form
    10,011.50/14,421.25 = 14,421.25/x
  3. Step 3: Cross multiply
    10,011.50x = 14,421.25 × 14,421.25
  4. Step 4: Simplify right side
    10,011.50x = 207,972,451.56
  5. Step 5: Solve for x
    x = 207,972,451.56/10,011.50
  6. Step 6: Final answer
    x = 20,773.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.