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Finding the Third Proportional to 21,681 and 30,793.50

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Solution

The third proportional to 21,681 and 30,793.50 is: 43,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681 : 30,793.50 = 30,793.50 : x
  2. Step 2: Convert to fraction form
    21,681/30,793.50 = 30,793.50/x
  3. Step 3: Cross multiply
    21,681x = 30,793.50 × 30,793.50
  4. Step 4: Simplify right side
    21,681x = 948,239,642.25
  5. Step 5: Solve for x
    x = 948,239,642.25/21,681
  6. Step 6: Final answer
    x = 43,735.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.