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Finding the Third Proportional to 21,171.38 and 31,109.06

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Solution

The third proportional to 21,171.38 and 31,109.06 is: 45,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.38 : 31,109.06 = 31,109.06 : x
  2. Step 2: Convert to fraction form
    21,171.38/31,109.06 = 31,109.06/x
  3. Step 3: Cross multiply
    21,171.38x = 31,109.06 × 31,109.06
  4. Step 4: Simplify right side
    21,171.38x = 967,773,769.63
  5. Step 5: Solve for x
    x = 967,773,769.63/21,171.38
  6. Step 6: Final answer
    x = 45,711.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.