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Finding the Third Proportional to 14,574.94 and 31,476.94

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Solution

The third proportional to 14,574.94 and 31,476.94 is: 67,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.94 : 31,476.94 = 31,476.94 : x
  2. Step 2: Convert to fraction form
    14,574.94/31,476.94 = 31,476.94/x
  3. Step 3: Cross multiply
    14,574.94x = 31,476.94 × 31,476.94
  4. Step 4: Simplify right side
    14,574.94x = 990,797,594.38
  5. Step 5: Solve for x
    x = 990,797,594.38/14,574.94
  6. Step 6: Final answer
    x = 67,979.54

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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.