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Finding the Third Proportional to 1,650.47 and 2,476.03

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Solution

The third proportional to 1,650.47 and 2,476.03 is: 3,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.47 : 2,476.03 = 2,476.03 : x
  2. Step 2: Convert to fraction form
    1,650.47/2,476.03 = 2,476.03/x
  3. Step 3: Cross multiply
    1,650.47x = 2,476.03 × 2,476.03
  4. Step 4: Simplify right side
    1,650.47x = 6,130,730.75
  5. Step 5: Solve for x
    x = 6,130,730.75/1,650.47
  6. Step 6: Final answer
    x = 3,714.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.