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Finding the Third Proportional to 30,097 and 46,811

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Solution

The third proportional to 30,097 and 46,811 is: 72,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097 : 46,811 = 46,811 : x
  2. Step 2: Convert to fraction form
    30,097/46,811 = 46,811/x
  3. Step 3: Cross multiply
    30,097x = 46,811 × 46,811
  4. Step 4: Simplify right side
    30,097x = 2,191,269,721
  5. Step 5: Solve for x
    x = 2,191,269,721/30,097
  6. Step 6: Final answer
    x = 72,806.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.