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Finding the Third Proportional to 46,664 and 69,980

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Solution

The third proportional to 46,664 and 69,980 is: 104,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,664 : 69,980 = 69,980 : x
  2. Step 2: Convert to fraction form
    46,664/69,980 = 69,980/x
  3. Step 3: Cross multiply
    46,664x = 69,980 × 69,980
  4. Step 4: Simplify right side
    46,664x = 4,897,200,400
  5. Step 5: Solve for x
    x = 4,897,200,400/46,664
  6. Step 6: Final answer
    x = 104,946.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.