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Finding the Third Proportional to 19,821 and 29,020.50

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Solution

The third proportional to 19,821 and 29,020.50 is: 42,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821 : 29,020.50 = 29,020.50 : x
  2. Step 2: Convert to fraction form
    19,821/29,020.50 = 29,020.50/x
  3. Step 3: Cross multiply
    19,821x = 29,020.50 × 29,020.50
  4. Step 4: Simplify right side
    19,821x = 842,189,420.25
  5. Step 5: Solve for x
    x = 842,189,420.25/19,821
  6. Step 6: Final answer
    x = 42,489.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.