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Finding the Third Proportional to 27,504 and 40,080

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Solution

The third proportional to 27,504 and 40,080 is: 58,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504 : 40,080 = 40,080 : x
  2. Step 2: Convert to fraction form
    27,504/40,080 = 40,080/x
  3. Step 3: Cross multiply
    27,504x = 40,080 × 40,080
  4. Step 4: Simplify right side
    27,504x = 1,606,406,400
  5. Step 5: Solve for x
    x = 1,606,406,400/27,504
  6. Step 6: Final answer
    x = 58,406.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.