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Finding the Third Proportional to 24,723 and 53,640

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Solution

The third proportional to 24,723 and 53,640 is: 116,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723 : 53,640 = 53,640 : x
  2. Step 2: Convert to fraction form
    24,723/53,640 = 53,640/x
  3. Step 3: Cross multiply
    24,723x = 53,640 × 53,640
  4. Step 4: Simplify right side
    24,723x = 2,877,249,600
  5. Step 5: Solve for x
    x = 2,877,249,600/24,723
  6. Step 6: Final answer
    x = 116,379.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.