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Finding the Third Proportional to 23,245.42 and 52,411.11

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Solution

The third proportional to 23,245.42 and 52,411.11 is: 118,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.42 : 52,411.11 = 52,411.11 : x
  2. Step 2: Convert to fraction form
    23,245.42/52,411.11 = 52,411.11/x
  3. Step 3: Cross multiply
    23,245.42x = 52,411.11 × 52,411.11
  4. Step 4: Simplify right side
    23,245.42x = 2,746,924,795.38
  5. Step 5: Solve for x
    x = 2,746,924,795.38/23,245.42
  6. Step 6: Final answer
    x = 118,170.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.