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Finding the Third Proportional to 30,146 and 44,134

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Solution

The third proportional to 30,146 and 44,134 is: 64,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146 : 44,134 = 44,134 : x
  2. Step 2: Convert to fraction form
    30,146/44,134 = 44,134/x
  3. Step 3: Cross multiply
    30,146x = 44,134 × 44,134
  4. Step 4: Simplify right side
    30,146x = 1,947,809,956
  5. Step 5: Solve for x
    x = 1,947,809,956/30,146
  6. Step 6: Final answer
    x = 64,612.55

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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.