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Finding the Third Proportional to 1,623.52 and 3,506.48

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Solution

The third proportional to 1,623.52 and 3,506.48 is: 7,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.52 : 3,506.48 = 3,506.48 : x
  2. Step 2: Convert to fraction form
    1,623.52/3,506.48 = 3,506.48/x
  3. Step 3: Cross multiply
    1,623.52x = 3,506.48 × 3,506.48
  4. Step 4: Simplify right side
    1,623.52x = 12,295,432.67
  5. Step 5: Solve for x
    x = 12,295,432.67/1,623.52
  6. Step 6: Final answer
    x = 7,573.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.