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Finding the Third Proportional to 46,015 and 65,248

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Solution

The third proportional to 46,015 and 65,248 is: 92,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,015 : 65,248 = 65,248 : x
  2. Step 2: Convert to fraction form
    46,015/65,248 = 65,248/x
  3. Step 3: Cross multiply
    46,015x = 65,248 × 65,248
  4. Step 4: Simplify right side
    46,015x = 4,257,301,504
  5. Step 5: Solve for x
    x = 4,257,301,504/46,015
  6. Step 6: Final answer
    x = 92,519.86

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.