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Finding the Third Proportional to 1,088.25 and 2,270.25

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Solution

The third proportional to 1,088.25 and 2,270.25 is: 4,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.25 : 2,270.25 = 2,270.25 : x
  2. Step 2: Convert to fraction form
    1,088.25/2,270.25 = 2,270.25/x
  3. Step 3: Cross multiply
    1,088.25x = 2,270.25 × 2,270.25
  4. Step 4: Simplify right side
    1,088.25x = 5,154,035.06
  5. Step 5: Solve for x
    x = 5,154,035.06/1,088.25
  6. Step 6: Final answer
    x = 4,736.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.