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Finding the Third Proportional to 2,088 and 2,542.50

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Solution

The third proportional to 2,088 and 2,542.50 is: 3,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088 : 2,542.50 = 2,542.50 : x
  2. Step 2: Convert to fraction form
    2,088/2,542.50 = 2,542.50/x
  3. Step 3: Cross multiply
    2,088x = 2,542.50 × 2,542.50
  4. Step 4: Simplify right side
    2,088x = 6,464,306.25
  5. Step 5: Solve for x
    x = 6,464,306.25/2,088
  6. Step 6: Final answer
    x = 3,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.