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Finding the Third Proportional to 25,275 and 35,433

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Solution

The third proportional to 25,275 and 35,433 is: 49,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275 : 35,433 = 35,433 : x
  2. Step 2: Convert to fraction form
    25,275/35,433 = 35,433/x
  3. Step 3: Cross multiply
    25,275x = 35,433 × 35,433
  4. Step 4: Simplify right side
    25,275x = 1,255,497,489
  5. Step 5: Solve for x
    x = 1,255,497,489/25,275
  6. Step 6: Final answer
    x = 49,673.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.