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Finding the Third Proportional to 30,337 and 47,145

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Solution

The third proportional to 30,337 and 47,145 is: 73,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337 : 47,145 = 47,145 : x
  2. Step 2: Convert to fraction form
    30,337/47,145 = 47,145/x
  3. Step 3: Cross multiply
    30,337x = 47,145 × 47,145
  4. Step 4: Simplify right side
    30,337x = 2,222,651,025
  5. Step 5: Solve for x
    x = 2,222,651,025/30,337
  6. Step 6: Final answer
    x = 73,265.35

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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.