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Finding the Third Proportional to 46,876 and 74,732

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Solution

The third proportional to 46,876 and 74,732 is: 119,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,876 : 74,732 = 74,732 : x
  2. Step 2: Convert to fraction form
    46,876/74,732 = 74,732/x
  3. Step 3: Cross multiply
    46,876x = 74,732 × 74,732
  4. Step 4: Simplify right side
    46,876x = 5,584,871,824
  5. Step 5: Solve for x
    x = 5,584,871,824/46,876
  6. Step 6: Final answer
    x = 119,141.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.