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Finding the Third Proportional to 48,610 and 65,326

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Solution

The third proportional to 48,610 and 65,326 is: 87,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,610 : 65,326 = 65,326 : x
  2. Step 2: Convert to fraction form
    48,610/65,326 = 65,326/x
  3. Step 3: Cross multiply
    48,610x = 65,326 × 65,326
  4. Step 4: Simplify right side
    48,610x = 4,267,486,276
  5. Step 5: Solve for x
    x = 4,267,486,276/48,610
  6. Step 6: Final answer
    x = 87,790.30

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.