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Finding the Third Proportional to 3,554 and 5,562.50

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Solution

The third proportional to 3,554 and 5,562.50 is: 8,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554 : 5,562.50 = 5,562.50 : x
  2. Step 2: Convert to fraction form
    3,554/5,562.50 = 5,562.50/x
  3. Step 3: Cross multiply
    3,554x = 5,562.50 × 5,562.50
  4. Step 4: Simplify right side
    3,554x = 30,941,406.25
  5. Step 5: Solve for x
    x = 30,941,406.25/3,554
  6. Step 6: Final answer
    x = 8,706.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.