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Finding the Third Proportional to 1,094.88 and 2,402.69

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Solution

The third proportional to 1,094.88 and 2,402.69 is: 5,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.88 : 2,402.69 = 2,402.69 : x
  2. Step 2: Convert to fraction form
    1,094.88/2,402.69 = 2,402.69/x
  3. Step 3: Cross multiply
    1,094.88x = 2,402.69 × 2,402.69
  4. Step 4: Simplify right side
    1,094.88x = 5,772,907.22
  5. Step 5: Solve for x
    x = 5,772,907.22/1,094.88
  6. Step 6: Final answer
    x = 5,272.66

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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.