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Finding the Third Proportional to 48,417.75 and 69,735.94

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Solution

The third proportional to 48,417.75 and 69,735.94 is: 100,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,417.75 : 69,735.94 = 69,735.94 : x
  2. Step 2: Convert to fraction form
    48,417.75/69,735.94 = 69,735.94/x
  3. Step 3: Cross multiply
    48,417.75x = 69,735.94 × 69,735.94
  4. Step 4: Simplify right side
    48,417.75x = 4,863,100,979.00
  5. Step 5: Solve for x
    x = 4,863,100,979.00/48,417.75
  6. Step 6: Final answer
    x = 100,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.