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Finding the Third Proportional to 15,088 and 17,824

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Solution

The third proportional to 15,088 and 17,824 is: 21,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088 : 17,824 = 17,824 : x
  2. Step 2: Convert to fraction form
    15,088/17,824 = 17,824/x
  3. Step 3: Cross multiply
    15,088x = 17,824 × 17,824
  4. Step 4: Simplify right side
    15,088x = 317,694,976
  5. Step 5: Solve for x
    x = 317,694,976/15,088
  6. Step 6: Final answer
    x = 21,056.14

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.