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Finding the Third Proportional to 24,339 and 35,932.50

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Solution

The third proportional to 24,339 and 35,932.50 is: 53,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339 : 35,932.50 = 35,932.50 : x
  2. Step 2: Convert to fraction form
    24,339/35,932.50 = 35,932.50/x
  3. Step 3: Cross multiply
    24,339x = 35,932.50 × 35,932.50
  4. Step 4: Simplify right side
    24,339x = 1,291,144,556.25
  5. Step 5: Solve for x
    x = 1,291,144,556.25/24,339
  6. Step 6: Final answer
    x = 53,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.