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Finding the Third Proportional to 16,804 and 26,574

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Solution

The third proportional to 16,804 and 26,574 is: 42,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 26,574 = 26,574 : x
  2. Step 2: Convert to fraction form
    16,804/26,574 = 26,574/x
  3. Step 3: Cross multiply
    16,804x = 26,574 × 26,574
  4. Step 4: Simplify right side
    16,804x = 706,177,476
  5. Step 5: Solve for x
    x = 706,177,476/16,804
  6. Step 6: Final answer
    x = 42,024.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.