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Finding the Third Proportional to 4,631.63 and 10,010.81

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Solution

The third proportional to 4,631.63 and 10,010.81 is: 21,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.63 : 10,010.81 = 10,010.81 : x
  2. Step 2: Convert to fraction form
    4,631.63/10,010.81 = 10,010.81/x
  3. Step 3: Cross multiply
    4,631.63x = 10,010.81 × 10,010.81
  4. Step 4: Simplify right side
    4,631.63x = 100,216,366.91
  5. Step 5: Solve for x
    x = 100,216,366.91/4,631.63
  6. Step 6: Final answer
    x = 21,637.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.