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Finding the Third Proportional to 10,430.02 and 16,174.69

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Solution

The third proportional to 10,430.02 and 16,174.69 is: 25,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.02 : 16,174.69 = 16,174.69 : x
  2. Step 2: Convert to fraction form
    10,430.02/16,174.69 = 16,174.69/x
  3. Step 3: Cross multiply
    10,430.02x = 16,174.69 × 16,174.69
  4. Step 4: Simplify right side
    10,430.02x = 261,620,515.72
  5. Step 5: Solve for x
    x = 261,620,515.72/10,430.02
  6. Step 6: Final answer
    x = 25,083.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.