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Finding the Third Proportional to 36,352 and 76,024

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Solution

The third proportional to 36,352 and 76,024 is: 158,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,352 : 76,024 = 76,024 : x
  2. Step 2: Convert to fraction form
    36,352/76,024 = 76,024/x
  3. Step 3: Cross multiply
    36,352x = 76,024 × 76,024
  4. Step 4: Simplify right side
    36,352x = 5,779,648,576
  5. Step 5: Solve for x
    x = 5,779,648,576/36,352
  6. Step 6: Final answer
    x = 158,991.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.