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Finding the Third Proportional to 46,516 and 69,966

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Solution

The third proportional to 46,516 and 69,966 is: 105,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,516 : 69,966 = 69,966 : x
  2. Step 2: Convert to fraction form
    46,516/69,966 = 69,966/x
  3. Step 3: Cross multiply
    46,516x = 69,966 × 69,966
  4. Step 4: Simplify right side
    46,516x = 4,895,241,156
  5. Step 5: Solve for x
    x = 4,895,241,156/46,516
  6. Step 6: Final answer
    x = 105,237.79

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Why These Related Problems?

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