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Finding the Third Proportional to 46,794 and 60,712

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Solution

The third proportional to 46,794 and 60,712 is: 78,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,794 : 60,712 = 60,712 : x
  2. Step 2: Convert to fraction form
    46,794/60,712 = 60,712/x
  3. Step 3: Cross multiply
    46,794x = 60,712 × 60,712
  4. Step 4: Simplify right side
    46,794x = 3,685,946,944
  5. Step 5: Solve for x
    x = 3,685,946,944/46,794
  6. Step 6: Final answer
    x = 78,769.65

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.