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Finding the Third Proportional to 9,993 and 21,542.50

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Solution

The third proportional to 9,993 and 21,542.50 is: 46,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993 : 21,542.50 = 21,542.50 : x
  2. Step 2: Convert to fraction form
    9,993/21,542.50 = 21,542.50/x
  3. Step 3: Cross multiply
    9,993x = 21,542.50 × 21,542.50
  4. Step 4: Simplify right side
    9,993x = 464,079,306.25
  5. Step 5: Solve for x
    x = 464,079,306.25/9,993
  6. Step 6: Final answer
    x = 46,440.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.