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Finding the Third Proportional to 15,894 and 29,292.75

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Solution

The third proportional to 15,894 and 29,292.75 is: 53,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 29,292.75 = 29,292.75 : x
  2. Step 2: Convert to fraction form
    15,894/29,292.75 = 29,292.75/x
  3. Step 3: Cross multiply
    15,894x = 29,292.75 × 29,292.75
  4. Step 4: Simplify right side
    15,894x = 858,065,202.56
  5. Step 5: Solve for x
    x = 858,065,202.56/15,894
  6. Step 6: Final answer
    x = 53,986.74

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.