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Finding the Third Proportional to 30,050 and 47,138

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Solution

The third proportional to 30,050 and 47,138 is: 73,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,050 : 47,138 = 47,138 : x
  2. Step 2: Convert to fraction form
    30,050/47,138 = 47,138/x
  3. Step 3: Cross multiply
    30,050x = 47,138 × 47,138
  4. Step 4: Simplify right side
    30,050x = 2,221,991,044
  5. Step 5: Solve for x
    x = 2,221,991,044/30,050
  6. Step 6: Final answer
    x = 73,943.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.