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Finding the Third Proportional to 24,849 and 53,248

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Solution

The third proportional to 24,849 and 53,248 is: 114,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849 : 53,248 = 53,248 : x
  2. Step 2: Convert to fraction form
    24,849/53,248 = 53,248/x
  3. Step 3: Cross multiply
    24,849x = 53,248 × 53,248
  4. Step 4: Simplify right side
    24,849x = 2,835,349,504
  5. Step 5: Solve for x
    x = 2,835,349,504/24,849
  6. Step 6: Final answer
    x = 114,103.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.