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Finding the Third Proportional to 24,674 and 53,670

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Solution

The third proportional to 24,674 and 53,670 is: 116,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674 : 53,670 = 53,670 : x
  2. Step 2: Convert to fraction form
    24,674/53,670 = 53,670/x
  3. Step 3: Cross multiply
    24,674x = 53,670 × 53,670
  4. Step 4: Simplify right side
    24,674x = 2,880,468,900
  5. Step 5: Solve for x
    x = 2,880,468,900/24,674
  6. Step 6: Final answer
    x = 116,741.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.