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Finding the Third Proportional to 4,970.53 and 10,628.72

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Solution

The third proportional to 4,970.53 and 10,628.72 is: 22,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.53 : 10,628.72 = 10,628.72 : x
  2. Step 2: Convert to fraction form
    4,970.53/10,628.72 = 10,628.72/x
  3. Step 3: Cross multiply
    4,970.53x = 10,628.72 × 10,628.72
  4. Step 4: Simplify right side
    4,970.53x = 112,969,662.27
  5. Step 5: Solve for x
    x = 112,969,662.27/4,970.53
  6. Step 6: Final answer
    x = 22,727.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.