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Finding the Third Proportional to 9,342 and 20,054.25

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Solution

The third proportional to 9,342 and 20,054.25 is: 43,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342 : 20,054.25 = 20,054.25 : x
  2. Step 2: Convert to fraction form
    9,342/20,054.25 = 20,054.25/x
  3. Step 3: Cross multiply
    9,342x = 20,054.25 × 20,054.25
  4. Step 4: Simplify right side
    9,342x = 402,172,943.06
  5. Step 5: Solve for x
    x = 402,172,943.06/9,342
  6. Step 6: Final answer
    x = 43,049.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.