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Finding the Third Proportional to 32,208.75 and 49,534.88

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Solution

The third proportional to 32,208.75 and 49,534.88 is: 76,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.75 : 49,534.88 = 49,534.88 : x
  2. Step 2: Convert to fraction form
    32,208.75/49,534.88 = 49,534.88/x
  3. Step 3: Cross multiply
    32,208.75x = 49,534.88 × 49,534.88
  4. Step 4: Simplify right side
    32,208.75x = 2,453,703,841.27
  5. Step 5: Solve for x
    x = 2,453,703,841.27/32,208.75
  6. Step 6: Final answer
    x = 76,181.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.