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Finding the Third Proportional to 7,844 and 14,088

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Solution

The third proportional to 7,844 and 14,088 is: 25,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 14,088 = 14,088 : x
  2. Step 2: Convert to fraction form
    7,844/14,088 = 14,088/x
  3. Step 3: Cross multiply
    7,844x = 14,088 × 14,088
  4. Step 4: Simplify right side
    7,844x = 198,471,744
  5. Step 5: Solve for x
    x = 198,471,744/7,844
  6. Step 6: Final answer
    x = 25,302.36

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.