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Finding the Third Proportional to 32,828.25 and 47,807.25

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Solution

The third proportional to 32,828.25 and 47,807.25 is: 69,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.25 : 47,807.25 = 47,807.25 : x
  2. Step 2: Convert to fraction form
    32,828.25/47,807.25 = 47,807.25/x
  3. Step 3: Cross multiply
    32,828.25x = 47,807.25 × 47,807.25
  4. Step 4: Simplify right side
    32,828.25x = 2,285,533,152.56
  5. Step 5: Solve for x
    x = 2,285,533,152.56/32,828.25
  6. Step 6: Final answer
    x = 69,620.93

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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.