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Finding the Third Proportional to 34,054 and 47,678

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Solution

The third proportional to 34,054 and 47,678 is: 66,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054 : 47,678 = 47,678 : x
  2. Step 2: Convert to fraction form
    34,054/47,678 = 47,678/x
  3. Step 3: Cross multiply
    34,054x = 47,678 × 47,678
  4. Step 4: Simplify right side
    34,054x = 2,273,191,684
  5. Step 5: Solve for x
    x = 2,273,191,684/34,054
  6. Step 6: Final answer
    x = 66,752.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.