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Finding the Third Proportional to 46,990 and 69,187

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Solution

The third proportional to 46,990 and 69,187 is: 101,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990 : 69,187 = 69,187 : x
  2. Step 2: Convert to fraction form
    46,990/69,187 = 69,187/x
  3. Step 3: Cross multiply
    46,990x = 69,187 × 69,187
  4. Step 4: Simplify right side
    46,990x = 4,786,840,969
  5. Step 5: Solve for x
    x = 4,786,840,969/46,990
  6. Step 6: Final answer
    x = 101,869.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.