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Finding the Third Proportional to 30,914 and 46,516

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Solution

The third proportional to 30,914 and 46,516 is: 69,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914 : 46,516 = 46,516 : x
  2. Step 2: Convert to fraction form
    30,914/46,516 = 46,516/x
  3. Step 3: Cross multiply
    30,914x = 46,516 × 46,516
  4. Step 4: Simplify right side
    30,914x = 2,163,738,256
  5. Step 5: Solve for x
    x = 2,163,738,256/30,914
  6. Step 6: Final answer
    x = 69,992.18

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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.