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Finding the Third Proportional to 30,351 and 47,511

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Solution

The third proportional to 30,351 and 47,511 is: 74,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351 : 47,511 = 47,511 : x
  2. Step 2: Convert to fraction form
    30,351/47,511 = 47,511/x
  3. Step 3: Cross multiply
    30,351x = 47,511 × 47,511
  4. Step 4: Simplify right side
    30,351x = 2,257,295,121
  5. Step 5: Solve for x
    x = 2,257,295,121/30,351
  6. Step 6: Final answer
    x = 74,373.01

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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.