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Finding the Third Proportional to 10,206.56 and 14,960.53

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Solution

The third proportional to 10,206.56 and 14,960.53 is: 21,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.56 : 14,960.53 = 14,960.53 : x
  2. Step 2: Convert to fraction form
    10,206.56/14,960.53 = 14,960.53/x
  3. Step 3: Cross multiply
    10,206.56x = 14,960.53 × 14,960.53
  4. Step 4: Simplify right side
    10,206.56x = 223,817,495.28
  5. Step 5: Solve for x
    x = 223,817,495.28/10,206.56
  6. Step 6: Final answer
    x = 21,928.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.