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Finding the Third Proportional to 24,371 and 53,305

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Solution

The third proportional to 24,371 and 53,305 is: 116,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371 : 53,305 = 53,305 : x
  2. Step 2: Convert to fraction form
    24,371/53,305 = 53,305/x
  3. Step 3: Cross multiply
    24,371x = 53,305 × 53,305
  4. Step 4: Simplify right side
    24,371x = 2,841,423,025
  5. Step 5: Solve for x
    x = 2,841,423,025/24,371
  6. Step 6: Final answer
    x = 116,590.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.