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Finding the Third Proportional to 30,880 and 46,468

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Solution

The third proportional to 30,880 and 46,468 is: 69,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880 : 46,468 = 46,468 : x
  2. Step 2: Convert to fraction form
    30,880/46,468 = 46,468/x
  3. Step 3: Cross multiply
    30,880x = 46,468 × 46,468
  4. Step 4: Simplify right side
    30,880x = 2,159,275,024
  5. Step 5: Solve for x
    x = 2,159,275,024/30,880
  6. Step 6: Final answer
    x = 69,924.71

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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.