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Finding the Third Proportional to 21,206.25 and 31,160.25

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Solution

The third proportional to 21,206.25 and 31,160.25 is: 45,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.25 : 31,160.25 = 31,160.25 : x
  2. Step 2: Convert to fraction form
    21,206.25/31,160.25 = 31,160.25/x
  3. Step 3: Cross multiply
    21,206.25x = 31,160.25 × 31,160.25
  4. Step 4: Simplify right side
    21,206.25x = 970,961,180.06
  5. Step 5: Solve for x
    x = 970,961,180.06/21,206.25
  6. Step 6: Final answer
    x = 45,786.56

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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.