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Finding the Third Proportional to 24,804 and 35,361

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Solution

The third proportional to 24,804 and 35,361 is: 50,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804 : 35,361 = 35,361 : x
  2. Step 2: Convert to fraction form
    24,804/35,361 = 35,361/x
  3. Step 3: Cross multiply
    24,804x = 35,361 × 35,361
  4. Step 4: Simplify right side
    24,804x = 1,250,400,321
  5. Step 5: Solve for x
    x = 1,250,400,321/24,804
  6. Step 6: Final answer
    x = 50,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.