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Finding the Third Proportional to 7,141.69 and 10,955.53

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Solution

The third proportional to 7,141.69 and 10,955.53 is: 16,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.69 : 10,955.53 = 10,955.53 : x
  2. Step 2: Convert to fraction form
    7,141.69/10,955.53 = 10,955.53/x
  3. Step 3: Cross multiply
    7,141.69x = 10,955.53 × 10,955.53
  4. Step 4: Simplify right side
    7,141.69x = 120,023,664.97
  5. Step 5: Solve for x
    x = 120,023,664.97/7,141.69
  6. Step 6: Final answer
    x = 16,806.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.