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Finding the Third Proportional to 37,023 and 54,228

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Solution

The third proportional to 37,023 and 54,228 is: 79,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,023 : 54,228 = 54,228 : x
  2. Step 2: Convert to fraction form
    37,023/54,228 = 54,228/x
  3. Step 3: Cross multiply
    37,023x = 54,228 × 54,228
  4. Step 4: Simplify right side
    37,023x = 2,940,675,984
  5. Step 5: Solve for x
    x = 2,940,675,984/37,023
  6. Step 6: Final answer
    x = 79,428.35

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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.