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Finding the Third Proportional to 24,316 and 53,734

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Solution

The third proportional to 24,316 and 53,734 is: 118,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316 : 53,734 = 53,734 : x
  2. Step 2: Convert to fraction form
    24,316/53,734 = 53,734/x
  3. Step 3: Cross multiply
    24,316x = 53,734 × 53,734
  4. Step 4: Simplify right side
    24,316x = 2,887,342,756
  5. Step 5: Solve for x
    x = 2,887,342,756/24,316
  6. Step 6: Final answer
    x = 118,742.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.