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Finding the Third Proportional to 19,821.50 and 30,360

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Solution

The third proportional to 19,821.50 and 30,360 is: 46,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.50 : 30,360 = 30,360 : x
  2. Step 2: Convert to fraction form
    19,821.50/30,360 = 30,360/x
  3. Step 3: Cross multiply
    19,821.50x = 30,360 × 30,360
  4. Step 4: Simplify right side
    19,821.50x = 921,729,600
  5. Step 5: Solve for x
    x = 921,729,600/19,821.50
  6. Step 6: Final answer
    x = 46,501.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.