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Finding the Third Proportional to 36,148 and 54,030

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Solution

The third proportional to 36,148 and 54,030 is: 80,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148 : 54,030 = 54,030 : x
  2. Step 2: Convert to fraction form
    36,148/54,030 = 54,030/x
  3. Step 3: Cross multiply
    36,148x = 54,030 × 54,030
  4. Step 4: Simplify right side
    36,148x = 2,919,240,900
  5. Step 5: Solve for x
    x = 2,919,240,900/36,148
  6. Step 6: Final answer
    x = 80,758.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.