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Finding the Third Proportional to 37,485 and 56,121

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Solution

The third proportional to 37,485 and 56,121 is: 84,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,485 : 56,121 = 56,121 : x
  2. Step 2: Convert to fraction form
    37,485/56,121 = 56,121/x
  3. Step 3: Cross multiply
    37,485x = 56,121 × 56,121
  4. Step 4: Simplify right side
    37,485x = 3,149,566,641
  5. Step 5: Solve for x
    x = 3,149,566,641/37,485
  6. Step 6: Final answer
    x = 84,022.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.