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Finding the Third Proportional to 46,989 and 72,840.38

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Solution

The third proportional to 46,989 and 72,840.38 is: 112,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,989 : 72,840.38 = 72,840.38 : x
  2. Step 2: Convert to fraction form
    46,989/72,840.38 = 72,840.38/x
  3. Step 3: Cross multiply
    46,989x = 72,840.38 × 72,840.38
  4. Step 4: Simplify right side
    46,989x = 5,305,720,230.14
  5. Step 5: Solve for x
    x = 5,305,720,230.14/46,989
  6. Step 6: Final answer
    x = 112,914.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.