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Finding the Third Proportional to 15,309 and 23,958.28

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Solution

The third proportional to 15,309 and 23,958.28 is: 37,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 23,958.28 = 23,958.28 : x
  2. Step 2: Convert to fraction form
    15,309/23,958.28 = 23,958.28/x
  3. Step 3: Cross multiply
    15,309x = 23,958.28 × 23,958.28
  4. Step 4: Simplify right side
    15,309x = 573,999,240.45
  5. Step 5: Solve for x
    x = 573,999,240.45/15,309
  6. Step 6: Final answer
    x = 37,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.