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Finding the Third Proportional to 48,985 and 73,288

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Solution

The third proportional to 48,985 and 73,288 is: 109,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,985 : 73,288 = 73,288 : x
  2. Step 2: Convert to fraction form
    48,985/73,288 = 73,288/x
  3. Step 3: Cross multiply
    48,985x = 73,288 × 73,288
  4. Step 4: Simplify right side
    48,985x = 5,371,130,944
  5. Step 5: Solve for x
    x = 5,371,130,944/48,985
  6. Step 6: Final answer
    x = 109,648.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.