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Finding the Third Proportional to 32,798.75 and 51,563.25

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Solution

The third proportional to 32,798.75 and 51,563.25 is: 81,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.75 : 51,563.25 = 51,563.25 : x
  2. Step 2: Convert to fraction form
    32,798.75/51,563.25 = 51,563.25/x
  3. Step 3: Cross multiply
    32,798.75x = 51,563.25 × 51,563.25
  4. Step 4: Simplify right side
    32,798.75x = 2,658,768,750.56
  5. Step 5: Solve for x
    x = 2,658,768,750.56/32,798.75
  6. Step 6: Final answer
    x = 81,063.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.