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Finding the Third Proportional to 21,582 and 48,188.25

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Solution

The third proportional to 21,582 and 48,188.25 is: 107,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582 : 48,188.25 = 48,188.25 : x
  2. Step 2: Convert to fraction form
    21,582/48,188.25 = 48,188.25/x
  3. Step 3: Cross multiply
    21,582x = 48,188.25 × 48,188.25
  4. Step 4: Simplify right side
    21,582x = 2,322,107,438.06
  5. Step 5: Solve for x
    x = 2,322,107,438.06/21,582
  6. Step 6: Final answer
    x = 107,594.64

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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.