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Finding the Third Proportional to 4,643.16 and 10,835.44

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Solution

The third proportional to 4,643.16 and 10,835.44 is: 25,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.16 : 10,835.44 = 10,835.44 : x
  2. Step 2: Convert to fraction form
    4,643.16/10,835.44 = 10,835.44/x
  3. Step 3: Cross multiply
    4,643.16x = 10,835.44 × 10,835.44
  4. Step 4: Simplify right side
    4,643.16x = 117,406,705.82
  5. Step 5: Solve for x
    x = 117,406,705.82/4,643.16
  6. Step 6: Final answer
    x = 25,285.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.