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Finding the Third Proportional to 29,370 and 51,846

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Solution

The third proportional to 29,370 and 51,846 is: 91,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,370 : 51,846 = 51,846 : x
  2. Step 2: Convert to fraction form
    29,370/51,846 = 51,846/x
  3. Step 3: Cross multiply
    29,370x = 51,846 × 51,846
  4. Step 4: Simplify right side
    29,370x = 2,688,007,716
  5. Step 5: Solve for x
    x = 2,688,007,716/29,370
  6. Step 6: Final answer
    x = 91,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.