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Finding the Third Proportional to 4,601.81 and 7,298.54

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Solution

The third proportional to 4,601.81 and 7,298.54 is: 11,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.81 : 7,298.54 = 7,298.54 : x
  2. Step 2: Convert to fraction form
    4,601.81/7,298.54 = 7,298.54/x
  3. Step 3: Cross multiply
    4,601.81x = 7,298.54 × 7,298.54
  4. Step 4: Simplify right side
    4,601.81x = 53,268,729.47
  5. Step 5: Solve for x
    x = 53,268,729.47/4,601.81
  6. Step 6: Final answer
    x = 11,575.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.