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Finding the Third Proportional to 4,740.19 and 7,182.84

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Solution

The third proportional to 4,740.19 and 7,182.84 is: 10,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.19 : 7,182.84 = 7,182.84 : x
  2. Step 2: Convert to fraction form
    4,740.19/7,182.84 = 7,182.84/x
  3. Step 3: Cross multiply
    4,740.19x = 7,182.84 × 7,182.84
  4. Step 4: Simplify right side
    4,740.19x = 51,593,244.34
  5. Step 5: Solve for x
    x = 51,593,244.34/4,740.19
  6. Step 6: Final answer
    x = 10,884.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.