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Finding the Third Proportional to 15,975.56 and 32,975.44

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Solution

The third proportional to 15,975.56 and 32,975.44 is: 68,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.56 : 32,975.44 = 32,975.44 : x
  2. Step 2: Convert to fraction form
    15,975.56/32,975.44 = 32,975.44/x
  3. Step 3: Cross multiply
    15,975.56x = 32,975.44 × 32,975.44
  4. Step 4: Simplify right side
    15,975.56x = 1,087,379,478.32
  5. Step 5: Solve for x
    x = 1,087,379,478.32/15,975.56
  6. Step 6: Final answer
    x = 68,065.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.