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Finding the Third Proportional to 15,938.25 and 35,022

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Solution

The third proportional to 15,938.25 and 35,022 is: 76,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938.25 : 35,022 = 35,022 : x
  2. Step 2: Convert to fraction form
    15,938.25/35,022 = 35,022/x
  3. Step 3: Cross multiply
    15,938.25x = 35,022 × 35,022
  4. Step 4: Simplify right side
    15,938.25x = 1,226,540,484
  5. Step 5: Solve for x
    x = 1,226,540,484/15,938.25
  6. Step 6: Final answer
    x = 76,955.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.