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Finding the Third Proportional to 19,856 and 30,724

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Solution

The third proportional to 19,856 and 30,724 is: 47,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856 : 30,724 = 30,724 : x
  2. Step 2: Convert to fraction form
    19,856/30,724 = 30,724/x
  3. Step 3: Cross multiply
    19,856x = 30,724 × 30,724
  4. Step 4: Simplify right side
    19,856x = 943,964,176
  5. Step 5: Solve for x
    x = 943,964,176/19,856
  6. Step 6: Final answer
    x = 47,540.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.