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Finding the Third Proportional to 1,743.08 and 2,484.74

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Solution

The third proportional to 1,743.08 and 2,484.74 is: 3,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.08 : 2,484.74 = 2,484.74 : x
  2. Step 2: Convert to fraction form
    1,743.08/2,484.74 = 2,484.74/x
  3. Step 3: Cross multiply
    1,743.08x = 2,484.74 × 2,484.74
  4. Step 4: Simplify right side
    1,743.08x = 6,173,924.33
  5. Step 5: Solve for x
    x = 6,173,924.33/1,743.08
  6. Step 6: Final answer
    x = 3,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.