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Finding the Third Proportional to 29,085 and 61,434

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Solution

The third proportional to 29,085 and 61,434 is: 129,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,085 : 61,434 = 61,434 : x
  2. Step 2: Convert to fraction form
    29,085/61,434 = 61,434/x
  3. Step 3: Cross multiply
    29,085x = 61,434 × 61,434
  4. Step 4: Simplify right side
    29,085x = 3,774,136,356
  5. Step 5: Solve for x
    x = 3,774,136,356/29,085
  6. Step 6: Final answer
    x = 129,762.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.