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Finding the Third Proportional to 10,023.75 and 21,604.50

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Solution

The third proportional to 10,023.75 and 21,604.50 is: 46,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 21,604.50 = 21,604.50 : x
  2. Step 2: Convert to fraction form
    10,023.75/21,604.50 = 21,604.50/x
  3. Step 3: Cross multiply
    10,023.75x = 21,604.50 × 21,604.50
  4. Step 4: Simplify right side
    10,023.75x = 466,754,420.25
  5. Step 5: Solve for x
    x = 466,754,420.25/10,023.75
  6. Step 6: Final answer
    x = 46,564.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.