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Finding the Third Proportional to 14,820 and 34,982

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Solution

The third proportional to 14,820 and 34,982 is: 82,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820 : 34,982 = 34,982 : x
  2. Step 2: Convert to fraction form
    14,820/34,982 = 34,982/x
  3. Step 3: Cross multiply
    14,820x = 34,982 × 34,982
  4. Step 4: Simplify right side
    14,820x = 1,223,740,324
  5. Step 5: Solve for x
    x = 1,223,740,324/14,820
  6. Step 6: Final answer
    x = 82,573.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.