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Finding the Third Proportional to 23,851 and 51,803

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Solution

The third proportional to 23,851 and 51,803 is: 112,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851 : 51,803 = 51,803 : x
  2. Step 2: Convert to fraction form
    23,851/51,803 = 51,803/x
  3. Step 3: Cross multiply
    23,851x = 51,803 × 51,803
  4. Step 4: Simplify right side
    23,851x = 2,683,550,809
  5. Step 5: Solve for x
    x = 2,683,550,809/23,851
  6. Step 6: Final answer
    x = 112,513.14

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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.