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Finding the Third Proportional to 22,682.53 and 47,643.19

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Solution

The third proportional to 22,682.53 and 47,643.19 is: 100,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.53 : 47,643.19 = 47,643.19 : x
  2. Step 2: Convert to fraction form
    22,682.53/47,643.19 = 47,643.19/x
  3. Step 3: Cross multiply
    22,682.53x = 47,643.19 × 47,643.19
  4. Step 4: Simplify right side
    22,682.53x = 2,269,873,315.16
  5. Step 5: Solve for x
    x = 2,269,873,315.16/22,682.53
  6. Step 6: Final answer
    x = 100,071.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.