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Finding the Third Proportional to 46,670 and 61,257

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Solution

The third proportional to 46,670 and 61,257 is: 80,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670 : 61,257 = 61,257 : x
  2. Step 2: Convert to fraction form
    46,670/61,257 = 61,257/x
  3. Step 3: Cross multiply
    46,670x = 61,257 × 61,257
  4. Step 4: Simplify right side
    46,670x = 3,752,420,049
  5. Step 5: Solve for x
    x = 3,752,420,049/46,670
  6. Step 6: Final answer
    x = 80,403.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.