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Finding the Third Proportional to 17,523 and 25,429.50

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Solution

The third proportional to 17,523 and 25,429.50 is: 36,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523 : 25,429.50 = 25,429.50 : x
  2. Step 2: Convert to fraction form
    17,523/25,429.50 = 25,429.50/x
  3. Step 3: Cross multiply
    17,523x = 25,429.50 × 25,429.50
  4. Step 4: Simplify right side
    17,523x = 646,659,470.25
  5. Step 5: Solve for x
    x = 646,659,470.25/17,523
  6. Step 6: Final answer
    x = 36,903.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.