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Finding the Third Proportional to 19,908 and 30,829.50

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Solution

The third proportional to 19,908 and 30,829.50 is: 47,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,908 : 30,829.50 = 30,829.50 : x
  2. Step 2: Convert to fraction form
    19,908/30,829.50 = 30,829.50/x
  3. Step 3: Cross multiply
    19,908x = 30,829.50 × 30,829.50
  4. Step 4: Simplify right side
    19,908x = 950,458,070.25
  5. Step 5: Solve for x
    x = 950,458,070.25/19,908
  6. Step 6: Final answer
    x = 47,742.52

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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.