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Finding the Third Proportional to 10,059 and 15,348.75

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Solution

The third proportional to 10,059 and 15,348.75 is: 23,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059 : 15,348.75 = 15,348.75 : x
  2. Step 2: Convert to fraction form
    10,059/15,348.75 = 15,348.75/x
  3. Step 3: Cross multiply
    10,059x = 15,348.75 × 15,348.75
  4. Step 4: Simplify right side
    10,059x = 235,584,126.56
  5. Step 5: Solve for x
    x = 235,584,126.56/10,059
  6. Step 6: Final answer
    x = 23,420.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.