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Finding the Third Proportional to 9,774.56 and 19,062.56

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Solution

The third proportional to 9,774.56 and 19,062.56 is: 37,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.56 : 19,062.56 = 19,062.56 : x
  2. Step 2: Convert to fraction form
    9,774.56/19,062.56 = 19,062.56/x
  3. Step 3: Cross multiply
    9,774.56x = 19,062.56 × 19,062.56
  4. Step 4: Simplify right side
    9,774.56x = 363,381,289.07
  5. Step 5: Solve for x
    x = 363,381,289.07/9,774.56
  6. Step 6: Final answer
    x = 37,176.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.