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Finding the Third Proportional to 21,867.75 and 47,938.50

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Solution

The third proportional to 21,867.75 and 47,938.50 is: 105,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.75 : 47,938.50 = 47,938.50 : x
  2. Step 2: Convert to fraction form
    21,867.75/47,938.50 = 47,938.50/x
  3. Step 3: Cross multiply
    21,867.75x = 47,938.50 × 47,938.50
  4. Step 4: Simplify right side
    21,867.75x = 2,298,099,782.25
  5. Step 5: Solve for x
    x = 2,298,099,782.25/21,867.75
  6. Step 6: Final answer
    x = 105,090.82

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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.