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Finding the Third Proportional to 35,278 and 73,431.50

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Solution

The third proportional to 35,278 and 73,431.50 is: 152,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,278 : 73,431.50 = 73,431.50 : x
  2. Step 2: Convert to fraction form
    35,278/73,431.50 = 73,431.50/x
  3. Step 3: Cross multiply
    35,278x = 73,431.50 × 73,431.50
  4. Step 4: Simplify right side
    35,278x = 5,392,185,192.25
  5. Step 5: Solve for x
    x = 5,392,185,192.25/35,278
  6. Step 6: Final answer
    x = 152,848.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.