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Finding the Third Proportional to 5,461 and 11,803

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Solution

The third proportional to 5,461 and 11,803 is: 25,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461 : 11,803 = 11,803 : x
  2. Step 2: Convert to fraction form
    5,461/11,803 = 11,803/x
  3. Step 3: Cross multiply
    5,461x = 11,803 × 11,803
  4. Step 4: Simplify right side
    5,461x = 139,310,809
  5. Step 5: Solve for x
    x = 139,310,809/5,461
  6. Step 6: Final answer
    x = 25,510.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.