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Finding the Third Proportional to 50,032 and 70,368

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Solution

The third proportional to 50,032 and 70,368 is: 98,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,032 : 70,368 = 70,368 : x
  2. Step 2: Convert to fraction form
    50,032/70,368 = 70,368/x
  3. Step 3: Cross multiply
    50,032x = 70,368 × 70,368
  4. Step 4: Simplify right side
    50,032x = 4,951,655,424
  5. Step 5: Solve for x
    x = 4,951,655,424/50,032
  6. Step 6: Final answer
    x = 98,969.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.