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Finding the Third Proportional to 37,258.73 and 55,164.80

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Solution

The third proportional to 37,258.73 and 55,164.80 is: 81,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,258.73 : 55,164.80 = 55,164.80 : x
  2. Step 2: Convert to fraction form
    37,258.73/55,164.80 = 55,164.80/x
  3. Step 3: Cross multiply
    37,258.73x = 55,164.80 × 55,164.80
  4. Step 4: Simplify right side
    37,258.73x = 3,043,154,814.26
  5. Step 5: Solve for x
    x = 3,043,154,814.26/37,258.73
  6. Step 6: Final answer
    x = 81,676.28

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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.