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Finding the Third Proportional to 23,821.59 and 52,541.16

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Solution

The third proportional to 23,821.59 and 52,541.16 is: 115,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.59 : 52,541.16 = 52,541.16 : x
  2. Step 2: Convert to fraction form
    23,821.59/52,541.16 = 52,541.16/x
  3. Step 3: Cross multiply
    23,821.59x = 52,541.16 × 52,541.16
  4. Step 4: Simplify right side
    23,821.59x = 2,760,573,100.09
  5. Step 5: Solve for x
    x = 2,760,573,100.09/23,821.59
  6. Step 6: Final answer
    x = 115,885.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.