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Finding the Third Proportional to 19,248 and 25,946

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Solution

The third proportional to 19,248 and 25,946 is: 34,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 25,946 = 25,946 : x
  2. Step 2: Convert to fraction form
    19,248/25,946 = 25,946/x
  3. Step 3: Cross multiply
    19,248x = 25,946 × 25,946
  4. Step 4: Simplify right side
    19,248x = 673,194,916
  5. Step 5: Solve for x
    x = 673,194,916/19,248
  6. Step 6: Final answer
    x = 34,974.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.