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Finding the Third Proportional to 29,595 and 63,582

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Solution

The third proportional to 29,595 and 63,582 is: 136,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,595 : 63,582 = 63,582 : x
  2. Step 2: Convert to fraction form
    29,595/63,582 = 63,582/x
  3. Step 3: Cross multiply
    29,595x = 63,582 × 63,582
  4. Step 4: Simplify right side
    29,595x = 4,042,670,724
  5. Step 5: Solve for x
    x = 4,042,670,724/29,595
  6. Step 6: Final answer
    x = 136,599.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.