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Finding the Third Proportional to 9,915.75 and 23,999.63

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Solution

The third proportional to 9,915.75 and 23,999.63 is: 58,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.75 : 23,999.63 = 23,999.63 : x
  2. Step 2: Convert to fraction form
    9,915.75/23,999.63 = 23,999.63/x
  3. Step 3: Cross multiply
    9,915.75x = 23,999.63 × 23,999.63
  4. Step 4: Simplify right side
    9,915.75x = 575,982,000.14
  5. Step 5: Solve for x
    x = 575,982,000.14/9,915.75
  6. Step 6: Final answer
    x = 58,087.59

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.