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Finding the Third Proportional to 10,030.81 and 21,667.75

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Solution

The third proportional to 10,030.81 and 21,667.75 is: 46,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.81 : 21,667.75 = 21,667.75 : x
  2. Step 2: Convert to fraction form
    10,030.81/21,667.75 = 21,667.75/x
  3. Step 3: Cross multiply
    10,030.81x = 21,667.75 × 21,667.75
  4. Step 4: Simplify right side
    10,030.81x = 469,491,390.06
  5. Step 5: Solve for x
    x = 469,491,390.06/10,030.81
  6. Step 6: Final answer
    x = 46,804.92

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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.