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Finding the Third Proportional to 4,829.63 and 7,102.69

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Solution

The third proportional to 4,829.63 and 7,102.69 is: 10,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.63 : 7,102.69 = 7,102.69 : x
  2. Step 2: Convert to fraction form
    4,829.63/7,102.69 = 7,102.69/x
  3. Step 3: Cross multiply
    4,829.63x = 7,102.69 × 7,102.69
  4. Step 4: Simplify right side
    4,829.63x = 50,448,169.72
  5. Step 5: Solve for x
    x = 50,448,169.72/4,829.63
  6. Step 6: Final answer
    x = 10,445.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.