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Finding the Third Proportional to 46,856 and 66,778

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Solution

The third proportional to 46,856 and 66,778 is: 95,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856 : 66,778 = 66,778 : x
  2. Step 2: Convert to fraction form
    46,856/66,778 = 66,778/x
  3. Step 3: Cross multiply
    46,856x = 66,778 × 66,778
  4. Step 4: Simplify right side
    46,856x = 4,459,301,284
  5. Step 5: Solve for x
    x = 4,459,301,284/46,856
  6. Step 6: Final answer
    x = 95,170.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.