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Finding the Third Proportional to 4,554.56 and 9,955.41

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Solution

The third proportional to 4,554.56 and 9,955.41 is: 21,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.56 : 9,955.41 = 9,955.41 : x
  2. Step 2: Convert to fraction form
    4,554.56/9,955.41 = 9,955.41/x
  3. Step 3: Cross multiply
    4,554.56x = 9,955.41 × 9,955.41
  4. Step 4: Simplify right side
    4,554.56x = 99,110,113.60
  5. Step 5: Solve for x
    x = 99,110,113.60/4,554.56
  6. Step 6: Final answer
    x = 21,760.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.