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Finding the Third Proportional to 5,017.50 and 10,624.50

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Solution

The third proportional to 5,017.50 and 10,624.50 is: 22,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.50 : 10,624.50 = 10,624.50 : x
  2. Step 2: Convert to fraction form
    5,017.50/10,624.50 = 10,624.50/x
  3. Step 3: Cross multiply
    5,017.50x = 10,624.50 × 10,624.50
  4. Step 4: Simplify right side
    5,017.50x = 112,880,000.25
  5. Step 5: Solve for x
    x = 112,880,000.25/5,017.50
  6. Step 6: Final answer
    x = 22,497.26

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.