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Finding the Third Proportional to 1,349.16 and 2,093.34

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Solution

The third proportional to 1,349.16 and 2,093.34 is: 3,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.16 : 2,093.34 = 2,093.34 : x
  2. Step 2: Convert to fraction form
    1,349.16/2,093.34 = 2,093.34/x
  3. Step 3: Cross multiply
    1,349.16x = 2,093.34 × 2,093.34
  4. Step 4: Simplify right side
    1,349.16x = 4,382,088.06
  5. Step 5: Solve for x
    x = 4,382,088.06/1,349.16
  6. Step 6: Final answer
    x = 3,248.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.