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Finding the Third Proportional to 1,724.63 and 3,669.47

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Solution

The third proportional to 1,724.63 and 3,669.47 is: 7,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.63 : 3,669.47 = 3,669.47 : x
  2. Step 2: Convert to fraction form
    1,724.63/3,669.47 = 3,669.47/x
  3. Step 3: Cross multiply
    1,724.63x = 3,669.47 × 3,669.47
  4. Step 4: Simplify right side
    1,724.63x = 13,465,000.91
  5. Step 5: Solve for x
    x = 13,465,000.91/1,724.63
  6. Step 6: Final answer
    x = 7,807.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.