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Finding the Third Proportional to 10,975.50 and 17,020.50

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Solution

The third proportional to 10,975.50 and 17,020.50 is: 26,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.50 : 17,020.50 = 17,020.50 : x
  2. Step 2: Convert to fraction form
    10,975.50/17,020.50 = 17,020.50/x
  3. Step 3: Cross multiply
    10,975.50x = 17,020.50 × 17,020.50
  4. Step 4: Simplify right side
    10,975.50x = 289,697,420.25
  5. Step 5: Solve for x
    x = 289,697,420.25/10,975.50
  6. Step 6: Final answer
    x = 26,394.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.