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Finding the Third Proportional to 46,244 and 69,700

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Solution

The third proportional to 46,244 and 69,700 is: 105,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,244 : 69,700 = 69,700 : x
  2. Step 2: Convert to fraction form
    46,244/69,700 = 69,700/x
  3. Step 3: Cross multiply
    46,244x = 69,700 × 69,700
  4. Step 4: Simplify right side
    46,244x = 4,858,090,000
  5. Step 5: Solve for x
    x = 4,858,090,000/46,244
  6. Step 6: Final answer
    x = 105,053.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.