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Finding the Third Proportional to 25,322 and 36,501

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Solution

The third proportional to 25,322 and 36,501 is: 52,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322 : 36,501 = 36,501 : x
  2. Step 2: Convert to fraction form
    25,322/36,501 = 36,501/x
  3. Step 3: Cross multiply
    25,322x = 36,501 × 36,501
  4. Step 4: Simplify right side
    25,322x = 1,332,323,001
  5. Step 5: Solve for x
    x = 1,332,323,001/25,322
  6. Step 6: Final answer
    x = 52,615.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.