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Finding the Third Proportional to 46,812.38 and 68,466.66

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Solution

The third proportional to 46,812.38 and 68,466.66 is: 100,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812.38 : 68,466.66 = 68,466.66 : x
  2. Step 2: Convert to fraction form
    46,812.38/68,466.66 = 68,466.66/x
  3. Step 3: Cross multiply
    46,812.38x = 68,466.66 × 68,466.66
  4. Step 4: Simplify right side
    46,812.38x = 4,687,683,018.06
  5. Step 5: Solve for x
    x = 4,687,683,018.06/46,812.38
  6. Step 6: Final answer
    x = 100,137.69

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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.