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Finding the Third Proportional to 24,564 and 52,053

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Solution

The third proportional to 24,564 and 52,053 is: 110,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 52,053 = 52,053 : x
  2. Step 2: Convert to fraction form
    24,564/52,053 = 52,053/x
  3. Step 3: Cross multiply
    24,564x = 52,053 × 52,053
  4. Step 4: Simplify right side
    24,564x = 2,709,514,809
  5. Step 5: Solve for x
    x = 2,709,514,809/24,564
  6. Step 6: Final answer
    x = 110,304.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.