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Finding the Third Proportional to 48,918 and 73,485

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Solution

The third proportional to 48,918 and 73,485 is: 110,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,918 : 73,485 = 73,485 : x
  2. Step 2: Convert to fraction form
    48,918/73,485 = 73,485/x
  3. Step 3: Cross multiply
    48,918x = 73,485 × 73,485
  4. Step 4: Simplify right side
    48,918x = 5,400,045,225
  5. Step 5: Solve for x
    x = 5,400,045,225/48,918
  6. Step 6: Final answer
    x = 110,389.74

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Why These Related Problems?

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