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Finding the Third Proportional to 28,004 and 58,604

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Solution

The third proportional to 28,004 and 58,604 is: 122,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004 : 58,604 = 58,604 : x
  2. Step 2: Convert to fraction form
    28,004/58,604 = 58,604/x
  3. Step 3: Cross multiply
    28,004x = 58,604 × 58,604
  4. Step 4: Simplify right side
    28,004x = 3,434,428,816
  5. Step 5: Solve for x
    x = 3,434,428,816/28,004
  6. Step 6: Final answer
    x = 122,640.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.