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Finding the Third Proportional to 9,739.62 and 21,035.95

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Solution

The third proportional to 9,739.62 and 21,035.95 is: 45,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.62 : 21,035.95 = 21,035.95 : x
  2. Step 2: Convert to fraction form
    9,739.62/21,035.95 = 21,035.95/x
  3. Step 3: Cross multiply
    9,739.62x = 21,035.95 × 21,035.95
  4. Step 4: Simplify right side
    9,739.62x = 442,511,323.88
  5. Step 5: Solve for x
    x = 442,511,323.88/9,739.62
  6. Step 6: Final answer
    x = 45,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.