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Finding the Third Proportional to 4,925.81 and 7,631.72

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Solution

The third proportional to 4,925.81 and 7,631.72 is: 11,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.81 : 7,631.72 = 7,631.72 : x
  2. Step 2: Convert to fraction form
    4,925.81/7,631.72 = 7,631.72/x
  3. Step 3: Cross multiply
    4,925.81x = 7,631.72 × 7,631.72
  4. Step 4: Simplify right side
    4,925.81x = 58,243,131.08
  5. Step 5: Solve for x
    x = 58,243,131.08/4,925.81
  6. Step 6: Final answer
    x = 11,824.07

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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.