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Finding the Third Proportional to 30,690 and 46,450

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Solution

The third proportional to 30,690 and 46,450 is: 70,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690 : 46,450 = 46,450 : x
  2. Step 2: Convert to fraction form
    30,690/46,450 = 46,450/x
  3. Step 3: Cross multiply
    30,690x = 46,450 × 46,450
  4. Step 4: Simplify right side
    30,690x = 2,157,602,500
  5. Step 5: Solve for x
    x = 2,157,602,500/30,690
  6. Step 6: Final answer
    x = 70,303.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.