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Finding the Third Proportional to 1,782.63 and 3,901.29

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Solution

The third proportional to 1,782.63 and 3,901.29 is: 8,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.63 : 3,901.29 = 3,901.29 : x
  2. Step 2: Convert to fraction form
    1,782.63/3,901.29 = 3,901.29/x
  3. Step 3: Cross multiply
    1,782.63x = 3,901.29 × 3,901.29
  4. Step 4: Simplify right side
    1,782.63x = 15,220,056.35
  5. Step 5: Solve for x
    x = 15,220,056.35/1,782.63
  6. Step 6: Final answer
    x = 8,537.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.