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Finding the Third Proportional to 21,506 and 47,252

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Solution

The third proportional to 21,506 and 47,252 is: 103,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506 : 47,252 = 47,252 : x
  2. Step 2: Convert to fraction form
    21,506/47,252 = 47,252/x
  3. Step 3: Cross multiply
    21,506x = 47,252 × 47,252
  4. Step 4: Simplify right side
    21,506x = 2,232,751,504
  5. Step 5: Solve for x
    x = 2,232,751,504/21,506
  6. Step 6: Final answer
    x = 103,819.93

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Why These Related Problems?

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