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Finding the Third Proportional to 30,870 and 46,101

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Solution

The third proportional to 30,870 and 46,101 is: 68,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870 : 46,101 = 46,101 : x
  2. Step 2: Convert to fraction form
    30,870/46,101 = 46,101/x
  3. Step 3: Cross multiply
    30,870x = 46,101 × 46,101
  4. Step 4: Simplify right side
    30,870x = 2,125,302,201
  5. Step 5: Solve for x
    x = 2,125,302,201/30,870
  6. Step 6: Final answer
    x = 68,846.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.