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Finding the Third Proportional to 21,563.50 and 30,216.50

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Solution

The third proportional to 21,563.50 and 30,216.50 is: 42,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.50 : 30,216.50 = 30,216.50 : x
  2. Step 2: Convert to fraction form
    21,563.50/30,216.50 = 30,216.50/x
  3. Step 3: Cross multiply
    21,563.50x = 30,216.50 × 30,216.50
  4. Step 4: Simplify right side
    21,563.50x = 913,036,872.25
  5. Step 5: Solve for x
    x = 913,036,872.25/21,563.50
  6. Step 6: Final answer
    x = 42,341.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.