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Finding the Third Proportional to 9,708.50 and 21,181

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Solution

The third proportional to 9,708.50 and 21,181 is: 46,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.50 : 21,181 = 21,181 : x
  2. Step 2: Convert to fraction form
    9,708.50/21,181 = 21,181/x
  3. Step 3: Cross multiply
    9,708.50x = 21,181 × 21,181
  4. Step 4: Simplify right side
    9,708.50x = 448,634,761
  5. Step 5: Solve for x
    x = 448,634,761/9,708.50
  6. Step 6: Final answer
    x = 46,210.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.