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Finding the Third Proportional to 46,847 and 74,928

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Solution

The third proportional to 46,847 and 74,928 is: 119,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,847 : 74,928 = 74,928 : x
  2. Step 2: Convert to fraction form
    46,847/74,928 = 74,928/x
  3. Step 3: Cross multiply
    46,847x = 74,928 × 74,928
  4. Step 4: Simplify right side
    46,847x = 5,614,205,184
  5. Step 5: Solve for x
    x = 5,614,205,184/46,847
  6. Step 6: Final answer
    x = 119,841.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.