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Finding the Third Proportional to 29,724 and 61,752

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Solution

The third proportional to 29,724 and 61,752 is: 128,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 61,752 = 61,752 : x
  2. Step 2: Convert to fraction form
    29,724/61,752 = 61,752/x
  3. Step 3: Cross multiply
    29,724x = 61,752 × 61,752
  4. Step 4: Simplify right side
    29,724x = 3,813,309,504
  5. Step 5: Solve for x
    x = 3,813,309,504/29,724
  6. Step 6: Final answer
    x = 128,290.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.