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Finding the Third Proportional to 21,506 and 47,620

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Solution

The third proportional to 21,506 and 47,620 is: 105,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506 : 47,620 = 47,620 : x
  2. Step 2: Convert to fraction form
    21,506/47,620 = 47,620/x
  3. Step 3: Cross multiply
    21,506x = 47,620 × 47,620
  4. Step 4: Simplify right side
    21,506x = 2,267,664,400
  5. Step 5: Solve for x
    x = 2,267,664,400/21,506
  6. Step 6: Final answer
    x = 105,443.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.