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Finding the Third Proportional to 34,785 and 46,600

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Solution

The third proportional to 34,785 and 46,600 is: 62,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,785 : 46,600 = 46,600 : x
  2. Step 2: Convert to fraction form
    34,785/46,600 = 46,600/x
  3. Step 3: Cross multiply
    34,785x = 46,600 × 46,600
  4. Step 4: Simplify right side
    34,785x = 2,171,560,000
  5. Step 5: Solve for x
    x = 2,171,560,000/34,785
  6. Step 6: Final answer
    x = 62,428.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.