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Finding the Third Proportional to 18,421.17 and 39,471.05

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Solution

The third proportional to 18,421.17 and 39,471.05 is: 84,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,421.17 : 39,471.05 = 39,471.05 : x
  2. Step 2: Convert to fraction form
    18,421.17/39,471.05 = 39,471.05/x
  3. Step 3: Cross multiply
    18,421.17x = 39,471.05 × 39,471.05
  4. Step 4: Simplify right side
    18,421.17x = 1,557,963,541.41
  5. Step 5: Solve for x
    x = 1,557,963,541.41/18,421.17
  6. Step 6: Final answer
    x = 84,574.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.