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Finding the Third Proportional to 36,462 and 52,140

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Solution

The third proportional to 36,462 and 52,140 is: 74,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462 : 52,140 = 52,140 : x
  2. Step 2: Convert to fraction form
    36,462/52,140 = 52,140/x
  3. Step 3: Cross multiply
    36,462x = 52,140 × 52,140
  4. Step 4: Simplify right side
    36,462x = 2,718,579,600
  5. Step 5: Solve for x
    x = 2,718,579,600/36,462
  6. Step 6: Final answer
    x = 74,559.26

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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.