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Finding the Third Proportional to 56,470 and 82,583

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Solution

The third proportional to 56,470 and 82,583 is: 120,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,470 : 82,583 = 82,583 : x
  2. Step 2: Convert to fraction form
    56,470/82,583 = 82,583/x
  3. Step 3: Cross multiply
    56,470x = 82,583 × 82,583
  4. Step 4: Simplify right side
    56,470x = 6,819,951,889
  5. Step 5: Solve for x
    x = 6,819,951,889/56,470
  6. Step 6: Final answer
    x = 120,771.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.