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Finding the Third Proportional to 20,582 and 28,982

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Solution

The third proportional to 20,582 and 28,982 is: 40,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582 : 28,982 = 28,982 : x
  2. Step 2: Convert to fraction form
    20,582/28,982 = 28,982/x
  3. Step 3: Cross multiply
    20,582x = 28,982 × 28,982
  4. Step 4: Simplify right side
    20,582x = 839,956,324
  5. Step 5: Solve for x
    x = 839,956,324/20,582
  6. Step 6: Final answer
    x = 40,810.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.