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Finding the Third Proportional to 6,152.84 and 8,749.90

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Solution

The third proportional to 6,152.84 and 8,749.90 is: 12,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.84 : 8,749.90 = 8,749.90 : x
  2. Step 2: Convert to fraction form
    6,152.84/8,749.90 = 8,749.90/x
  3. Step 3: Cross multiply
    6,152.84x = 8,749.90 × 8,749.90
  4. Step 4: Simplify right side
    6,152.84x = 76,560,722.67
  5. Step 5: Solve for x
    x = 76,560,722.67/6,152.84
  6. Step 6: Final answer
    x = 12,443.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.