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Finding the Third Proportional to 29,004 and 61,803

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Solution

The third proportional to 29,004 and 61,803 is: 131,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,004 : 61,803 = 61,803 : x
  2. Step 2: Convert to fraction form
    29,004/61,803 = 61,803/x
  3. Step 3: Cross multiply
    29,004x = 61,803 × 61,803
  4. Step 4: Simplify right side
    29,004x = 3,819,610,809
  5. Step 5: Solve for x
    x = 3,819,610,809/29,004
  6. Step 6: Final answer
    x = 131,692.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.