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Finding the Third Proportional to 46,398 and 69,813

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Solution

The third proportional to 46,398 and 69,813 is: 105,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,398 : 69,813 = 69,813 : x
  2. Step 2: Convert to fraction form
    46,398/69,813 = 69,813/x
  3. Step 3: Cross multiply
    46,398x = 69,813 × 69,813
  4. Step 4: Simplify right side
    46,398x = 4,873,854,969
  5. Step 5: Solve for x
    x = 4,873,854,969/46,398
  6. Step 6: Final answer
    x = 105,044.51

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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.