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Finding the Third Proportional to 30,790 and 46,117

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Solution

The third proportional to 30,790 and 46,117 is: 69,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790 : 46,117 = 46,117 : x
  2. Step 2: Convert to fraction form
    30,790/46,117 = 46,117/x
  3. Step 3: Cross multiply
    30,790x = 46,117 × 46,117
  4. Step 4: Simplify right side
    30,790x = 2,126,777,689
  5. Step 5: Solve for x
    x = 2,126,777,689/30,790
  6. Step 6: Final answer
    x = 69,073.65

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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.