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Finding the Third Proportional to 2,088.75 and 2,271.75

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Solution

The third proportional to 2,088.75 and 2,271.75 is: 2,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.75 : 2,271.75 = 2,271.75 : x
  2. Step 2: Convert to fraction form
    2,088.75/2,271.75 = 2,271.75/x
  3. Step 3: Cross multiply
    2,088.75x = 2,271.75 × 2,271.75
  4. Step 4: Simplify right side
    2,088.75x = 5,160,848.06
  5. Step 5: Solve for x
    x = 5,160,848.06/2,088.75
  6. Step 6: Final answer
    x = 2,470.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.