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Finding the Third Proportional to 44,880 and 94,494

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Solution

The third proportional to 44,880 and 94,494 is: 198,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,880 : 94,494 = 94,494 : x
  2. Step 2: Convert to fraction form
    44,880/94,494 = 94,494/x
  3. Step 3: Cross multiply
    44,880x = 94,494 × 94,494
  4. Step 4: Simplify right side
    44,880x = 8,929,116,036
  5. Step 5: Solve for x
    x = 8,929,116,036/44,880
  6. Step 6: Final answer
    x = 198,955.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.