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Finding the Third Proportional to 4,315.50 and 6,663.94

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Solution

The third proportional to 4,315.50 and 6,663.94 is: 10,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.50 : 6,663.94 = 6,663.94 : x
  2. Step 2: Convert to fraction form
    4,315.50/6,663.94 = 6,663.94/x
  3. Step 3: Cross multiply
    4,315.50x = 6,663.94 × 6,663.94
  4. Step 4: Simplify right side
    4,315.50x = 44,408,063.00
  5. Step 5: Solve for x
    x = 44,408,063.00/4,315.50
  6. Step 6: Final answer
    x = 10,290.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.