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Finding the Third Proportional to 32,828.25 and 48,077.25

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Solution

The third proportional to 32,828.25 and 48,077.25 is: 70,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.25 : 48,077.25 = 48,077.25 : x
  2. Step 2: Convert to fraction form
    32,828.25/48,077.25 = 48,077.25/x
  3. Step 3: Cross multiply
    32,828.25x = 48,077.25 × 48,077.25
  4. Step 4: Simplify right side
    32,828.25x = 2,311,421,967.56
  5. Step 5: Solve for x
    x = 2,311,421,967.56/32,828.25
  6. Step 6: Final answer
    x = 70,409.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.