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Finding the Third Proportional to 46,387 and 67,007

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Solution

The third proportional to 46,387 and 67,007 is: 96,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,387 : 67,007 = 67,007 : x
  2. Step 2: Convert to fraction form
    46,387/67,007 = 67,007/x
  3. Step 3: Cross multiply
    46,387x = 67,007 × 67,007
  4. Step 4: Simplify right side
    46,387x = 4,489,938,049
  5. Step 5: Solve for x
    x = 4,489,938,049/46,387
  6. Step 6: Final answer
    x = 96,793.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.