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Finding the Third Proportional to 29,781 and 46,143

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Solution

The third proportional to 29,781 and 46,143 is: 71,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781 : 46,143 = 46,143 : x
  2. Step 2: Convert to fraction form
    29,781/46,143 = 46,143/x
  3. Step 3: Cross multiply
    29,781x = 46,143 × 46,143
  4. Step 4: Simplify right side
    29,781x = 2,129,176,449
  5. Step 5: Solve for x
    x = 2,129,176,449/29,781
  6. Step 6: Final answer
    x = 71,494.46

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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.