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Finding the Third Proportional to 3,524.34 and 4,927.08

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Solution

The third proportional to 3,524.34 and 4,927.08 is: 6,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.34 : 4,927.08 = 4,927.08 : x
  2. Step 2: Convert to fraction form
    3,524.34/4,927.08 = 4,927.08/x
  3. Step 3: Cross multiply
    3,524.34x = 4,927.08 × 4,927.08
  4. Step 4: Simplify right side
    3,524.34x = 24,276,098.85
  5. Step 5: Solve for x
    x = 24,276,098.85/3,524.34
  6. Step 6: Final answer
    x = 6,888.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.