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Finding the Third Proportional to 4,844.81 and 7,567.17

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Solution

The third proportional to 4,844.81 and 7,567.17 is: 11,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.81 : 7,567.17 = 7,567.17 : x
  2. Step 2: Convert to fraction form
    4,844.81/7,567.17 = 7,567.17/x
  3. Step 3: Cross multiply
    4,844.81x = 7,567.17 × 7,567.17
  4. Step 4: Simplify right side
    4,844.81x = 57,262,090.19
  5. Step 5: Solve for x
    x = 57,262,090.19/4,844.81
  6. Step 6: Final answer
    x = 11,819.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.