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Finding the Third Proportional to 6,970.50 and 16,859

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Solution

The third proportional to 6,970.50 and 16,859 is: 40,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.50 : 16,859 = 16,859 : x
  2. Step 2: Convert to fraction form
    6,970.50/16,859 = 16,859/x
  3. Step 3: Cross multiply
    6,970.50x = 16,859 × 16,859
  4. Step 4: Simplify right side
    6,970.50x = 284,225,881
  5. Step 5: Solve for x
    x = 284,225,881/6,970.50
  6. Step 6: Final answer
    x = 40,775.54

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.