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Finding the Third Proportional to 13,174 and 28,942

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Solution

The third proportional to 13,174 and 28,942 is: 63,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174 : 28,942 = 28,942 : x
  2. Step 2: Convert to fraction form
    13,174/28,942 = 28,942/x
  3. Step 3: Cross multiply
    13,174x = 28,942 × 28,942
  4. Step 4: Simplify right side
    13,174x = 837,639,364
  5. Step 5: Solve for x
    x = 837,639,364/13,174
  6. Step 6: Final answer
    x = 63,582.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.