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Finding the Third Proportional to 4,669.88 and 7,140.38

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Solution

The third proportional to 4,669.88 and 7,140.38 is: 10,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.88 : 7,140.38 = 7,140.38 : x
  2. Step 2: Convert to fraction form
    4,669.88/7,140.38 = 7,140.38/x
  3. Step 3: Cross multiply
    4,669.88x = 7,140.38 × 7,140.38
  4. Step 4: Simplify right side
    4,669.88x = 50,984,955.14
  5. Step 5: Solve for x
    x = 50,984,955.14/4,669.88
  6. Step 6: Final answer
    x = 10,917.84

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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.