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Finding the Third Proportional to 35,071.50 and 76,938

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Solution

The third proportional to 35,071.50 and 76,938 is: 168,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071.50 : 76,938 = 76,938 : x
  2. Step 2: Convert to fraction form
    35,071.50/76,938 = 76,938/x
  3. Step 3: Cross multiply
    35,071.50x = 76,938 × 76,938
  4. Step 4: Simplify right side
    35,071.50x = 5,919,455,844
  5. Step 5: Solve for x
    x = 5,919,455,844/35,071.50
  6. Step 6: Final answer
    x = 168,782.51

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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.