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Finding the Third Proportional to 15,894 and 23,352.75

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Solution

The third proportional to 15,894 and 23,352.75 is: 34,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 23,352.75 = 23,352.75 : x
  2. Step 2: Convert to fraction form
    15,894/23,352.75 = 23,352.75/x
  3. Step 3: Cross multiply
    15,894x = 23,352.75 × 23,352.75
  4. Step 4: Simplify right side
    15,894x = 545,350,932.56
  5. Step 5: Solve for x
    x = 545,350,932.56/15,894
  6. Step 6: Final answer
    x = 34,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.