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Finding the Third Proportional to 10,438.88 and 16,156.69

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Solution

The third proportional to 10,438.88 and 16,156.69 is: 25,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.88 : 16,156.69 = 16,156.69 : x
  2. Step 2: Convert to fraction form
    10,438.88/16,156.69 = 16,156.69/x
  3. Step 3: Cross multiply
    10,438.88x = 16,156.69 × 16,156.69
  4. Step 4: Simplify right side
    10,438.88x = 261,038,550.97
  5. Step 5: Solve for x
    x = 261,038,550.97/10,438.88
  6. Step 6: Final answer
    x = 25,006.39

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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.