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Finding the Third Proportional to 24,581 and 53,324

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Solution

The third proportional to 24,581 and 53,324 is: 115,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581 : 53,324 = 53,324 : x
  2. Step 2: Convert to fraction form
    24,581/53,324 = 53,324/x
  3. Step 3: Cross multiply
    24,581x = 53,324 × 53,324
  4. Step 4: Simplify right side
    24,581x = 2,843,448,976
  5. Step 5: Solve for x
    x = 2,843,448,976/24,581
  6. Step 6: Final answer
    x = 115,676.70

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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.