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Finding the Third Proportional to 48,700 and 65,994

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Solution

The third proportional to 48,700 and 65,994 is: 89,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,700 : 65,994 = 65,994 : x
  2. Step 2: Convert to fraction form
    48,700/65,994 = 65,994/x
  3. Step 3: Cross multiply
    48,700x = 65,994 × 65,994
  4. Step 4: Simplify right side
    48,700x = 4,355,208,036
  5. Step 5: Solve for x
    x = 4,355,208,036/48,700
  6. Step 6: Final answer
    x = 89,429.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.