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Finding the Third Proportional to 48,439 and 65,095

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Solution

The third proportional to 48,439 and 65,095 is: 87,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,439 : 65,095 = 65,095 : x
  2. Step 2: Convert to fraction form
    48,439/65,095 = 65,095/x
  3. Step 3: Cross multiply
    48,439x = 65,095 × 65,095
  4. Step 4: Simplify right side
    48,439x = 4,237,359,025
  5. Step 5: Solve for x
    x = 4,237,359,025/48,439
  6. Step 6: Final answer
    x = 87,478.25

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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.