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Finding the Third Proportional to 15,732 and 34,573.50

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Solution

The third proportional to 15,732 and 34,573.50 is: 75,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 34,573.50 = 34,573.50 : x
  2. Step 2: Convert to fraction form
    15,732/34,573.50 = 34,573.50/x
  3. Step 3: Cross multiply
    15,732x = 34,573.50 × 34,573.50
  4. Step 4: Simplify right side
    15,732x = 1,195,326,902.25
  5. Step 5: Solve for x
    x = 1,195,326,902.25/15,732
  6. Step 6: Final answer
    x = 75,980.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.