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Finding the Third Proportional to 23,706.42 and 53,990.30

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Solution

The third proportional to 23,706.42 and 53,990.30 is: 122,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.42 : 53,990.30 = 53,990.30 : x
  2. Step 2: Convert to fraction form
    23,706.42/53,990.30 = 53,990.30/x
  3. Step 3: Cross multiply
    23,706.42x = 53,990.30 × 53,990.30
  4. Step 4: Simplify right side
    23,706.42x = 2,914,952,156.65
  5. Step 5: Solve for x
    x = 2,914,952,156.65/23,706.42
  6. Step 6: Final answer
    x = 122,960.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.