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Finding the Third Proportional to 24,826 and 53,539

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Solution

The third proportional to 24,826 and 53,539 is: 115,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826 : 53,539 = 53,539 : x
  2. Step 2: Convert to fraction form
    24,826/53,539 = 53,539/x
  3. Step 3: Cross multiply
    24,826x = 53,539 × 53,539
  4. Step 4: Simplify right side
    24,826x = 2,866,424,521
  5. Step 5: Solve for x
    x = 2,866,424,521/24,826
  6. Step 6: Final answer
    x = 115,460.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.