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Finding the Third Proportional to 46,314 and 69,693

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Solution

The third proportional to 46,314 and 69,693 is: 104,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314 : 69,693 = 69,693 : x
  2. Step 2: Convert to fraction form
    46,314/69,693 = 69,693/x
  3. Step 3: Cross multiply
    46,314x = 69,693 × 69,693
  4. Step 4: Simplify right side
    46,314x = 4,857,114,249
  5. Step 5: Solve for x
    x = 4,857,114,249/46,314
  6. Step 6: Final answer
    x = 104,873.56

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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.