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Finding the Third Proportional to 15,088 and 21,734

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Solution

The third proportional to 15,088 and 21,734 is: 31,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,088 : 21,734 = 21,734 : x
  2. Step 2: Convert to fraction form
    15,088/21,734 = 21,734/x
  3. Step 3: Cross multiply
    15,088x = 21,734 × 21,734
  4. Step 4: Simplify right side
    15,088x = 472,366,756
  5. Step 5: Solve for x
    x = 472,366,756/15,088
  6. Step 6: Final answer
    x = 31,307.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.