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Finding the Third Proportional to 9,682.03 and 21,220.73

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Solution

The third proportional to 9,682.03 and 21,220.73 is: 46,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 21,220.73 = 21,220.73 : x
  2. Step 2: Convert to fraction form
    9,682.03/21,220.73 = 21,220.73/x
  3. Step 3: Cross multiply
    9,682.03x = 21,220.73 × 21,220.73
  4. Step 4: Simplify right side
    9,682.03x = 450,319,567.41
  5. Step 5: Solve for x
    x = 450,319,567.41/9,682.03
  6. Step 6: Final answer
    x = 46,510.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.