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Finding the Third Proportional to 4,651.17 and 9,663.05

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Solution

The third proportional to 4,651.17 and 9,663.05 is: 20,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.17 : 9,663.05 = 9,663.05 : x
  2. Step 2: Convert to fraction form
    4,651.17/9,663.05 = 9,663.05/x
  3. Step 3: Cross multiply
    4,651.17x = 9,663.05 × 9,663.05
  4. Step 4: Simplify right side
    4,651.17x = 93,374,474.91
  5. Step 5: Solve for x
    x = 93,374,474.91/4,651.17
  6. Step 6: Final answer
    x = 20,075.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.