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Finding the Third Proportional to 10,074.94 and 14,763.94

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Solution

The third proportional to 10,074.94 and 14,763.94 is: 21,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.94 : 14,763.94 = 14,763.94 : x
  2. Step 2: Convert to fraction form
    10,074.94/14,763.94 = 14,763.94/x
  3. Step 3: Cross multiply
    10,074.94x = 14,763.94 × 14,763.94
  4. Step 4: Simplify right side
    10,074.94x = 217,973,850.50
  5. Step 5: Solve for x
    x = 217,973,850.50/10,074.94
  6. Step 6: Final answer
    x = 21,635.26

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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.