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Finding the Third Proportional to 21,780 and 47,248

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Solution

The third proportional to 21,780 and 47,248 is: 102,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 47,248 = 47,248 : x
  2. Step 2: Convert to fraction form
    21,780/47,248 = 47,248/x
  3. Step 3: Cross multiply
    21,780x = 47,248 × 47,248
  4. Step 4: Simplify right side
    21,780x = 2,232,373,504
  5. Step 5: Solve for x
    x = 2,232,373,504/21,780
  6. Step 6: Final answer
    x = 102,496.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.