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Finding the Third Proportional to 46,129 and 58,944

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Solution

The third proportional to 46,129 and 58,944 is: 75,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,129 : 58,944 = 58,944 : x
  2. Step 2: Convert to fraction form
    46,129/58,944 = 58,944/x
  3. Step 3: Cross multiply
    46,129x = 58,944 × 58,944
  4. Step 4: Simplify right side
    46,129x = 3,474,395,136
  5. Step 5: Solve for x
    x = 3,474,395,136/46,129
  6. Step 6: Final answer
    x = 75,319.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.