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Finding the Third Proportional to 24,838 and 53,488

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Solution

The third proportional to 24,838 and 53,488 is: 115,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838 : 53,488 = 53,488 : x
  2. Step 2: Convert to fraction form
    24,838/53,488 = 53,488/x
  3. Step 3: Cross multiply
    24,838x = 53,488 × 53,488
  4. Step 4: Simplify right side
    24,838x = 2,860,966,144
  5. Step 5: Solve for x
    x = 2,860,966,144/24,838
  6. Step 6: Final answer
    x = 115,185.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.