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Finding the Third Proportional to 34,046 and 49,037

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Solution

The third proportional to 34,046 and 49,037 is: 70,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046 : 49,037 = 49,037 : x
  2. Step 2: Convert to fraction form
    34,046/49,037 = 49,037/x
  3. Step 3: Cross multiply
    34,046x = 49,037 × 49,037
  4. Step 4: Simplify right side
    34,046x = 2,404,627,369
  5. Step 5: Solve for x
    x = 2,404,627,369/34,046
  6. Step 6: Final answer
    x = 70,628.78

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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.