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Finding the Third Proportional to 46,240 and 69,846

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Solution

The third proportional to 46,240 and 69,846 is: 105,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,240 : 69,846 = 69,846 : x
  2. Step 2: Convert to fraction form
    46,240/69,846 = 69,846/x
  3. Step 3: Cross multiply
    46,240x = 69,846 × 69,846
  4. Step 4: Simplify right side
    46,240x = 4,878,463,716
  5. Step 5: Solve for x
    x = 4,878,463,716/46,240
  6. Step 6: Final answer
    x = 105,503.11

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Why These Related Problems?

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