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Finding the Third Proportional to 32,828.63 and 50,063.06

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Solution

The third proportional to 32,828.63 and 50,063.06 is: 76,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.63 : 50,063.06 = 50,063.06 : x
  2. Step 2: Convert to fraction form
    32,828.63/50,063.06 = 50,063.06/x
  3. Step 3: Cross multiply
    32,828.63x = 50,063.06 × 50,063.06
  4. Step 4: Simplify right side
    32,828.63x = 2,506,310,226.88
  5. Step 5: Solve for x
    x = 2,506,310,226.88/32,828.63
  6. Step 6: Final answer
    x = 76,345.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.