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Finding the Third Proportional to 37,140 and 54,890

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Solution

The third proportional to 37,140 and 54,890 is: 81,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140 : 54,890 = 54,890 : x
  2. Step 2: Convert to fraction form
    37,140/54,890 = 54,890/x
  3. Step 3: Cross multiply
    37,140x = 54,890 × 54,890
  4. Step 4: Simplify right side
    37,140x = 3,012,912,100
  5. Step 5: Solve for x
    x = 3,012,912,100/37,140
  6. Step 6: Final answer
    x = 81,123.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.