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Finding the Third Proportional to 21,777.75 and 47,659.50

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Solution

The third proportional to 21,777.75 and 47,659.50 is: 104,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.75 : 47,659.50 = 47,659.50 : x
  2. Step 2: Convert to fraction form
    21,777.75/47,659.50 = 47,659.50/x
  3. Step 3: Cross multiply
    21,777.75x = 47,659.50 × 47,659.50
  4. Step 4: Simplify right side
    21,777.75x = 2,271,427,940.25
  5. Step 5: Solve for x
    x = 2,271,427,940.25/21,777.75
  6. Step 6: Final answer
    x = 104,300.40

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