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Finding the Third Proportional to 17,004 and 36,470

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Solution

The third proportional to 17,004 and 36,470 is: 78,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,004 : 36,470 = 36,470 : x
  2. Step 2: Convert to fraction form
    17,004/36,470 = 36,470/x
  3. Step 3: Cross multiply
    17,004x = 36,470 × 36,470
  4. Step 4: Simplify right side
    17,004x = 1,330,060,900
  5. Step 5: Solve for x
    x = 1,330,060,900/17,004
  6. Step 6: Final answer
    x = 78,220.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.