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Finding the Third Proportional to 15,927 and 23,782.50

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Solution

The third proportional to 15,927 and 23,782.50 is: 35,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927 : 23,782.50 = 23,782.50 : x
  2. Step 2: Convert to fraction form
    15,927/23,782.50 = 23,782.50/x
  3. Step 3: Cross multiply
    15,927x = 23,782.50 × 23,782.50
  4. Step 4: Simplify right side
    15,927x = 565,607,306.25
  5. Step 5: Solve for x
    x = 565,607,306.25/15,927
  6. Step 6: Final answer
    x = 35,512.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.