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Finding the Third Proportional to 46,926 and 67,830

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Solution

The third proportional to 46,926 and 67,830 is: 98,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,926 : 67,830 = 67,830 : x
  2. Step 2: Convert to fraction form
    46,926/67,830 = 67,830/x
  3. Step 3: Cross multiply
    46,926x = 67,830 × 67,830
  4. Step 4: Simplify right side
    46,926x = 4,600,908,900
  5. Step 5: Solve for x
    x = 4,600,908,900/46,926
  6. Step 6: Final answer
    x = 98,046.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.