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Finding the Third Proportional to 24,564 and 53,052

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Solution

The third proportional to 24,564 and 53,052 is: 114,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 53,052 = 53,052 : x
  2. Step 2: Convert to fraction form
    24,564/53,052 = 53,052/x
  3. Step 3: Cross multiply
    24,564x = 53,052 × 53,052
  4. Step 4: Simplify right side
    24,564x = 2,814,514,704
  5. Step 5: Solve for x
    x = 2,814,514,704/24,564
  6. Step 6: Final answer
    x = 114,578.84

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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.