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Finding the Third Proportional to 13,456.50 and 19,262.25

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Solution

The third proportional to 13,456.50 and 19,262.25 is: 27,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.50 : 19,262.25 = 19,262.25 : x
  2. Step 2: Convert to fraction form
    13,456.50/19,262.25 = 19,262.25/x
  3. Step 3: Cross multiply
    13,456.50x = 19,262.25 × 19,262.25
  4. Step 4: Simplify right side
    13,456.50x = 371,034,275.06
  5. Step 5: Solve for x
    x = 371,034,275.06/13,456.50
  6. Step 6: Final answer
    x = 27,572.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.