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Finding the Third Proportional to 29,564 and 41,068

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Solution

The third proportional to 29,564 and 41,068 is: 57,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564 : 41,068 = 41,068 : x
  2. Step 2: Convert to fraction form
    29,564/41,068 = 41,068/x
  3. Step 3: Cross multiply
    29,564x = 41,068 × 41,068
  4. Step 4: Simplify right side
    29,564x = 1,686,580,624
  5. Step 5: Solve for x
    x = 1,686,580,624/29,564
  6. Step 6: Final answer
    x = 57,048.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.