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Finding the Third Proportional to 30,754.69 and 47,874.80

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Solution

The third proportional to 30,754.69 and 47,874.80 is: 74,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.69 : 47,874.80 = 47,874.80 : x
  2. Step 2: Convert to fraction form
    30,754.69/47,874.80 = 47,874.80/x
  3. Step 3: Cross multiply
    30,754.69x = 47,874.80 × 47,874.80
  4. Step 4: Simplify right side
    30,754.69x = 2,291,996,175.82
  5. Step 5: Solve for x
    x = 2,291,996,175.82/30,754.69
  6. Step 6: Final answer
    x = 74,525.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.