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Finding the Third Proportional to 5,510.21 and 11,848.62

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Solution

The third proportional to 5,510.21 and 11,848.62 is: 25,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.21 : 11,848.62 = 11,848.62 : x
  2. Step 2: Convert to fraction form
    5,510.21/11,848.62 = 11,848.62/x
  3. Step 3: Cross multiply
    5,510.21x = 11,848.62 × 11,848.62
  4. Step 4: Simplify right side
    5,510.21x = 140,389,868.11
  5. Step 5: Solve for x
    x = 140,389,868.11/5,510.21
  6. Step 6: Final answer
    x = 25,478.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.