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Finding the Third Proportional to 30,525 and 73,511

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Solution

The third proportional to 30,525 and 73,511 is: 177,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525 : 73,511 = 73,511 : x
  2. Step 2: Convert to fraction form
    30,525/73,511 = 73,511/x
  3. Step 3: Cross multiply
    30,525x = 73,511 × 73,511
  4. Step 4: Simplify right side
    30,525x = 5,403,867,121
  5. Step 5: Solve for x
    x = 5,403,867,121/30,525
  6. Step 6: Final answer
    x = 177,030.86

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.