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Finding the Third Proportional to 46,394 and 69,807

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Solution

The third proportional to 46,394 and 69,807 is: 105,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,394 : 69,807 = 69,807 : x
  2. Step 2: Convert to fraction form
    46,394/69,807 = 69,807/x
  3. Step 3: Cross multiply
    46,394x = 69,807 × 69,807
  4. Step 4: Simplify right side
    46,394x = 4,873,017,249
  5. Step 5: Solve for x
    x = 4,873,017,249/46,394
  6. Step 6: Final answer
    x = 105,035.51

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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.