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Finding the Third Proportional to 29,058 and 61,604

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Solution

The third proportional to 29,058 and 61,604 is: 130,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,058 : 61,604 = 61,604 : x
  2. Step 2: Convert to fraction form
    29,058/61,604 = 61,604/x
  3. Step 3: Cross multiply
    29,058x = 61,604 × 61,604
  4. Step 4: Simplify right side
    29,058x = 3,795,052,816
  5. Step 5: Solve for x
    x = 3,795,052,816/29,058
  6. Step 6: Final answer
    x = 130,602.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.