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Finding the Third Proportional to 1,054.11 and 1,675.13

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Solution

The third proportional to 1,054.11 and 1,675.13 is: 2,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.11 : 1,675.13 = 1,675.13 : x
  2. Step 2: Convert to fraction form
    1,054.11/1,675.13 = 1,675.13/x
  3. Step 3: Cross multiply
    1,054.11x = 1,675.13 × 1,675.13
  4. Step 4: Simplify right side
    1,054.11x = 2,806,073.21
  5. Step 5: Solve for x
    x = 2,806,073.21/1,054.11
  6. Step 6: Final answer
    x = 2,662.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.