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Finding the Third Proportional to 4,529.63 and 7,010.81

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Solution

The third proportional to 4,529.63 and 7,010.81 is: 10,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.63 : 7,010.81 = 7,010.81 : x
  2. Step 2: Convert to fraction form
    4,529.63/7,010.81 = 7,010.81/x
  3. Step 3: Cross multiply
    4,529.63x = 7,010.81 × 7,010.81
  4. Step 4: Simplify right side
    4,529.63x = 49,151,491.91
  5. Step 5: Solve for x
    x = 49,151,491.91/4,529.63
  6. Step 6: Final answer
    x = 10,851.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.