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Finding the Third Proportional to 4,811.25 and 7,034.63

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Solution

The third proportional to 4,811.25 and 7,034.63 is: 10,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.25 : 7,034.63 = 7,034.63 : x
  2. Step 2: Convert to fraction form
    4,811.25/7,034.63 = 7,034.63/x
  3. Step 3: Cross multiply
    4,811.25x = 7,034.63 × 7,034.63
  4. Step 4: Simplify right side
    4,811.25x = 49,485,948.89
  5. Step 5: Solve for x
    x = 49,485,948.89/4,811.25
  6. Step 6: Final answer
    x = 10,285.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.