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Finding the Third Proportional to 41,428 and 65,094

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Solution

The third proportional to 41,428 and 65,094 is: 102,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,428 : 65,094 = 65,094 : x
  2. Step 2: Convert to fraction form
    41,428/65,094 = 65,094/x
  3. Step 3: Cross multiply
    41,428x = 65,094 × 65,094
  4. Step 4: Simplify right side
    41,428x = 4,237,228,836
  5. Step 5: Solve for x
    x = 4,237,228,836/41,428
  6. Step 6: Final answer
    x = 102,279.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.