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Finding the Third Proportional to 21,654 and 47,358

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Solution

The third proportional to 21,654 and 47,358 is: 103,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654 : 47,358 = 47,358 : x
  2. Step 2: Convert to fraction form
    21,654/47,358 = 47,358/x
  3. Step 3: Cross multiply
    21,654x = 47,358 × 47,358
  4. Step 4: Simplify right side
    21,654x = 2,242,780,164
  5. Step 5: Solve for x
    x = 2,242,780,164/21,654
  6. Step 6: Final answer
    x = 103,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.