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Finding the Third Proportional to 35,046 and 50,376

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Solution

The third proportional to 35,046 and 50,376 is: 72,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,046 : 50,376 = 50,376 : x
  2. Step 2: Convert to fraction form
    35,046/50,376 = 50,376/x
  3. Step 3: Cross multiply
    35,046x = 50,376 × 50,376
  4. Step 4: Simplify right side
    35,046x = 2,537,741,376
  5. Step 5: Solve for x
    x = 2,537,741,376/35,046
  6. Step 6: Final answer
    x = 72,411.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.