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Finding the Third Proportional to 30,394 and 44,113

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Solution

The third proportional to 30,394 and 44,113 is: 64,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394 : 44,113 = 44,113 : x
  2. Step 2: Convert to fraction form
    30,394/44,113 = 44,113/x
  3. Step 3: Cross multiply
    30,394x = 44,113 × 44,113
  4. Step 4: Simplify right side
    30,394x = 1,945,956,769
  5. Step 5: Solve for x
    x = 1,945,956,769/30,394
  6. Step 6: Final answer
    x = 64,024.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.