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Finding the Third Proportional to 7,047 and 10,927.41

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Solution

The third proportional to 7,047 and 10,927.41 is: 16,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 10,927.41 = 10,927.41 : x
  2. Step 2: Convert to fraction form
    7,047/10,927.41 = 10,927.41/x
  3. Step 3: Cross multiply
    7,047x = 10,927.41 × 10,927.41
  4. Step 4: Simplify right side
    7,047x = 119,408,207.35
  5. Step 5: Solve for x
    x = 119,408,207.35/7,047
  6. Step 6: Final answer
    x = 16,944.54

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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.