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Finding the Third Proportional to 4,096.13 and 4,528.69

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Solution

The third proportional to 4,096.13 and 4,528.69 is: 5,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.13 : 4,528.69 = 4,528.69 : x
  2. Step 2: Convert to fraction form
    4,096.13/4,528.69 = 4,528.69/x
  3. Step 3: Cross multiply
    4,096.13x = 4,528.69 × 4,528.69
  4. Step 4: Simplify right side
    4,096.13x = 20,509,010.47
  5. Step 5: Solve for x
    x = 20,509,010.47/4,096.13
  6. Step 6: Final answer
    x = 5,006.93

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.