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Finding the Third Proportional to 10,378.13 and 16,113.94

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Solution

The third proportional to 10,378.13 and 16,113.94 is: 25,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.13 : 16,113.94 = 16,113.94 : x
  2. Step 2: Convert to fraction form
    10,378.13/16,113.94 = 16,113.94/x
  3. Step 3: Cross multiply
    10,378.13x = 16,113.94 × 16,113.94
  4. Step 4: Simplify right side
    10,378.13x = 259,658,981.75
  5. Step 5: Solve for x
    x = 259,658,981.75/10,378.13
  6. Step 6: Final answer
    x = 25,019.84

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Why These Related Problems?

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