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Finding the Third Proportional to 21,796 and 48,527

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Solution

The third proportional to 21,796 and 48,527 is: 108,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796 : 48,527 = 48,527 : x
  2. Step 2: Convert to fraction form
    21,796/48,527 = 48,527/x
  3. Step 3: Cross multiply
    21,796x = 48,527 × 48,527
  4. Step 4: Simplify right side
    21,796x = 2,354,869,729
  5. Step 5: Solve for x
    x = 2,354,869,729/21,796
  6. Step 6: Final answer
    x = 108,041.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.