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Finding the Third Proportional to 36,798 and 79,483

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Solution

The third proportional to 36,798 and 79,483 is: 171,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 79,483 = 79,483 : x
  2. Step 2: Convert to fraction form
    36,798/79,483 = 79,483/x
  3. Step 3: Cross multiply
    36,798x = 79,483 × 79,483
  4. Step 4: Simplify right side
    36,798x = 6,317,547,289
  5. Step 5: Solve for x
    x = 6,317,547,289/36,798
  6. Step 6: Final answer
    x = 171,681.81

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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.