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Finding the Third Proportional to 10,325.25 and 16,410.50

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Solution

The third proportional to 10,325.25 and 16,410.50 is: 26,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.25 : 16,410.50 = 16,410.50 : x
  2. Step 2: Convert to fraction form
    10,325.25/16,410.50 = 16,410.50/x
  3. Step 3: Cross multiply
    10,325.25x = 16,410.50 × 16,410.50
  4. Step 4: Simplify right side
    10,325.25x = 269,304,510.25
  5. Step 5: Solve for x
    x = 269,304,510.25/10,325.25
  6. Step 6: Final answer
    x = 26,082.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.