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Finding the Third Proportional to 38,028 and 58,770

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Solution

The third proportional to 38,028 and 58,770 is: 90,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,028 : 58,770 = 58,770 : x
  2. Step 2: Convert to fraction form
    38,028/58,770 = 58,770/x
  3. Step 3: Cross multiply
    38,028x = 58,770 × 58,770
  4. Step 4: Simplify right side
    38,028x = 3,453,912,900
  5. Step 5: Solve for x
    x = 3,453,912,900/38,028
  6. Step 6: Final answer
    x = 90,825.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.