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Finding the Third Proportional to 29,037 and 63,546

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Solution

The third proportional to 29,037 and 63,546 is: 139,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,037 : 63,546 = 63,546 : x
  2. Step 2: Convert to fraction form
    29,037/63,546 = 63,546/x
  3. Step 3: Cross multiply
    29,037x = 63,546 × 63,546
  4. Step 4: Simplify right side
    29,037x = 4,038,094,116
  5. Step 5: Solve for x
    x = 4,038,094,116/29,037
  6. Step 6: Final answer
    x = 139,067.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.