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Finding the Third Proportional to 25,485 and 52,102.50

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Solution

The third proportional to 25,485 and 52,102.50 is: 106,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,485 : 52,102.50 = 52,102.50 : x
  2. Step 2: Convert to fraction form
    25,485/52,102.50 = 52,102.50/x
  3. Step 3: Cross multiply
    25,485x = 52,102.50 × 52,102.50
  4. Step 4: Simplify right side
    25,485x = 2,714,670,506.25
  5. Step 5: Solve for x
    x = 2,714,670,506.25/25,485
  6. Step 6: Final answer
    x = 106,520.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.