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Finding the Third Proportional to 1,975.50 and 4,573.41

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Solution

The third proportional to 1,975.50 and 4,573.41 is: 10,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.50 : 4,573.41 = 4,573.41 : x
  2. Step 2: Convert to fraction form
    1,975.50/4,573.41 = 4,573.41/x
  3. Step 3: Cross multiply
    1,975.50x = 4,573.41 × 4,573.41
  4. Step 4: Simplify right side
    1,975.50x = 20,916,044.73
  5. Step 5: Solve for x
    x = 20,916,044.73/1,975.50
  6. Step 6: Final answer
    x = 10,587.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.