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Finding the Third Proportional to 24,798 and 36,279

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Solution

The third proportional to 24,798 and 36,279 is: 53,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798 : 36,279 = 36,279 : x
  2. Step 2: Convert to fraction form
    24,798/36,279 = 36,279/x
  3. Step 3: Cross multiply
    24,798x = 36,279 × 36,279
  4. Step 4: Simplify right side
    24,798x = 1,316,165,841
  5. Step 5: Solve for x
    x = 1,316,165,841/24,798
  6. Step 6: Final answer
    x = 53,075.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.