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Finding the Third Proportional to 15,838.50 and 25,077

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Solution

The third proportional to 15,838.50 and 25,077 is: 39,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.50 : 25,077 = 25,077 : x
  2. Step 2: Convert to fraction form
    15,838.50/25,077 = 25,077/x
  3. Step 3: Cross multiply
    15,838.50x = 25,077 × 25,077
  4. Step 4: Simplify right side
    15,838.50x = 628,855,929
  5. Step 5: Solve for x
    x = 628,855,929/15,838.50
  6. Step 6: Final answer
    x = 39,704.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.