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Finding the Third Proportional to 446.18 and 968.93

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Solution

The third proportional to 446.18 and 968.93 is: 2,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.18 : 968.93 = 968.93 : x
  2. Step 2: Convert to fraction form
    446.18/968.93 = 968.93/x
  3. Step 3: Cross multiply
    446.18x = 968.93 × 968.93
  4. Step 4: Simplify right side
    446.18x = 938,824.74
  5. Step 5: Solve for x
    x = 938,824.74/446.18
  6. Step 6: Final answer
    x = 2,104.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.