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Finding the Third Proportional to 1,054.27 and 1,613.36

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Solution

The third proportional to 1,054.27 and 1,613.36 is: 2,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.27 : 1,613.36 = 1,613.36 : x
  2. Step 2: Convert to fraction form
    1,054.27/1,613.36 = 1,613.36/x
  3. Step 3: Cross multiply
    1,054.27x = 1,613.36 × 1,613.36
  4. Step 4: Simplify right side
    1,054.27x = 2,602,915.87
  5. Step 5: Solve for x
    x = 2,602,915.87/1,054.27
  6. Step 6: Final answer
    x = 2,468.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.