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Finding the Third Proportional to 24,057 and 52,207.03

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Solution

The third proportional to 24,057 and 52,207.03 is: 113,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 52,207.03 = 52,207.03 : x
  2. Step 2: Convert to fraction form
    24,057/52,207.03 = 52,207.03/x
  3. Step 3: Cross multiply
    24,057x = 52,207.03 × 52,207.03
  4. Step 4: Simplify right side
    24,057x = 2,725,574,111.94
  5. Step 5: Solve for x
    x = 2,725,574,111.94/24,057
  6. Step 6: Final answer
    x = 113,296.51

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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.