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Finding the Third Proportional to 2,193.64 and 4,885.63

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Solution

The third proportional to 2,193.64 and 4,885.63 is: 10,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.64 : 4,885.63 = 4,885.63 : x
  2. Step 2: Convert to fraction form
    2,193.64/4,885.63 = 4,885.63/x
  3. Step 3: Cross multiply
    2,193.64x = 4,885.63 × 4,885.63
  4. Step 4: Simplify right side
    2,193.64x = 23,869,369.81
  5. Step 5: Solve for x
    x = 23,869,369.81/2,193.64
  6. Step 6: Final answer
    x = 10,881.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.