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Finding the Third Proportional to 30,996 and 46,418

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Solution

The third proportional to 30,996 and 46,418 is: 69,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 46,418 = 46,418 : x
  2. Step 2: Convert to fraction form
    30,996/46,418 = 46,418/x
  3. Step 3: Cross multiply
    30,996x = 46,418 × 46,418
  4. Step 4: Simplify right side
    30,996x = 2,154,630,724
  5. Step 5: Solve for x
    x = 2,154,630,724/30,996
  6. Step 6: Final answer
    x = 69,513.19

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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.