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Finding the Third Proportional to 10,751.06 and 14,483.81

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Solution

The third proportional to 10,751.06 and 14,483.81 is: 19,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.06 : 14,483.81 = 14,483.81 : x
  2. Step 2: Convert to fraction form
    10,751.06/14,483.81 = 14,483.81/x
  3. Step 3: Cross multiply
    10,751.06x = 14,483.81 × 14,483.81
  4. Step 4: Simplify right side
    10,751.06x = 209,780,824.54
  5. Step 5: Solve for x
    x = 209,780,824.54/10,751.06
  6. Step 6: Final answer
    x = 19,512.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.