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Finding the Third Proportional to 19,885.50 and 27,875.25

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Solution

The third proportional to 19,885.50 and 27,875.25 is: 39,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.50 : 27,875.25 = 27,875.25 : x
  2. Step 2: Convert to fraction form
    19,885.50/27,875.25 = 27,875.25/x
  3. Step 3: Cross multiply
    19,885.50x = 27,875.25 × 27,875.25
  4. Step 4: Simplify right side
    19,885.50x = 777,029,562.56
  5. Step 5: Solve for x
    x = 777,029,562.56/19,885.50
  6. Step 6: Final answer
    x = 39,075.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.