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Finding the Third Proportional to 25,460 and 38,947

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Solution

The third proportional to 25,460 and 38,947 is: 59,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460 : 38,947 = 38,947 : x
  2. Step 2: Convert to fraction form
    25,460/38,947 = 38,947/x
  3. Step 3: Cross multiply
    25,460x = 38,947 × 38,947
  4. Step 4: Simplify right side
    25,460x = 1,516,868,809
  5. Step 5: Solve for x
    x = 1,516,868,809/25,460
  6. Step 6: Final answer
    x = 59,578.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.