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Finding the Third Proportional to 32,257 and 50,689.50

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Solution

The third proportional to 32,257 and 50,689.50 is: 79,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257 : 50,689.50 = 50,689.50 : x
  2. Step 2: Convert to fraction form
    32,257/50,689.50 = 50,689.50/x
  3. Step 3: Cross multiply
    32,257x = 50,689.50 × 50,689.50
  4. Step 4: Simplify right side
    32,257x = 2,569,425,410.25
  5. Step 5: Solve for x
    x = 2,569,425,410.25/32,257
  6. Step 6: Final answer
    x = 79,654.82

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