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Finding the Third Proportional to 4,722 and 10,252.50

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Solution

The third proportional to 4,722 and 10,252.50 is: 22,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722 : 10,252.50 = 10,252.50 : x
  2. Step 2: Convert to fraction form
    4,722/10,252.50 = 10,252.50/x
  3. Step 3: Cross multiply
    4,722x = 10,252.50 × 10,252.50
  4. Step 4: Simplify right side
    4,722x = 105,113,756.25
  5. Step 5: Solve for x
    x = 105,113,756.25/4,722
  6. Step 6: Final answer
    x = 22,260.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.