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Finding the Third Proportional to 9,486.49 and 14,152.85

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Solution

The third proportional to 9,486.49 and 14,152.85 is: 21,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.49 : 14,152.85 = 14,152.85 : x
  2. Step 2: Convert to fraction form
    9,486.49/14,152.85 = 14,152.85/x
  3. Step 3: Cross multiply
    9,486.49x = 14,152.85 × 14,152.85
  4. Step 4: Simplify right side
    9,486.49x = 200,303,207.35
  5. Step 5: Solve for x
    x = 200,303,207.35/9,486.49
  6. Step 6: Final answer
    x = 21,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.