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Finding the Third Proportional to 12,432.38 and 17,473.50

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Solution

The third proportional to 12,432.38 and 17,473.50 is: 24,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.38 : 17,473.50 = 17,473.50 : x
  2. Step 2: Convert to fraction form
    12,432.38/17,473.50 = 17,473.50/x
  3. Step 3: Cross multiply
    12,432.38x = 17,473.50 × 17,473.50
  4. Step 4: Simplify right side
    12,432.38x = 305,323,202.25
  5. Step 5: Solve for x
    x = 305,323,202.25/12,432.38
  6. Step 6: Final answer
    x = 24,558.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.