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Finding the Third Proportional to 30,774 and 46,113

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Solution

The third proportional to 30,774 and 46,113 is: 69,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 46,113 = 46,113 : x
  2. Step 2: Convert to fraction form
    30,774/46,113 = 46,113/x
  3. Step 3: Cross multiply
    30,774x = 46,113 × 46,113
  4. Step 4: Simplify right side
    30,774x = 2,126,408,769
  5. Step 5: Solve for x
    x = 2,126,408,769/30,774
  6. Step 6: Final answer
    x = 69,097.57

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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.