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Finding the Third Proportional to 25,472.25 and 42,446.25

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Solution

The third proportional to 25,472.25 and 42,446.25 is: 70,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.25 : 42,446.25 = 42,446.25 : x
  2. Step 2: Convert to fraction form
    25,472.25/42,446.25 = 42,446.25/x
  3. Step 3: Cross multiply
    25,472.25x = 42,446.25 × 42,446.25
  4. Step 4: Simplify right side
    25,472.25x = 1,801,684,139.06
  5. Step 5: Solve for x
    x = 1,801,684,139.06/25,472.25
  6. Step 6: Final answer
    x = 70,731.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.