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Finding the Third Proportional to 24,798 and 35,538

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Solution

The third proportional to 24,798 and 35,538 is: 50,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798 : 35,538 = 35,538 : x
  2. Step 2: Convert to fraction form
    24,798/35,538 = 35,538/x
  3. Step 3: Cross multiply
    24,798x = 35,538 × 35,538
  4. Step 4: Simplify right side
    24,798x = 1,262,949,444
  5. Step 5: Solve for x
    x = 1,262,949,444/24,798
  6. Step 6: Final answer
    x = 50,929.49

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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.