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Finding the Third Proportional to 7,772 and 17,840

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Solution

The third proportional to 7,772 and 17,840 is: 40,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 17,840 = 17,840 : x
  2. Step 2: Convert to fraction form
    7,772/17,840 = 17,840/x
  3. Step 3: Cross multiply
    7,772x = 17,840 × 17,840
  4. Step 4: Simplify right side
    7,772x = 318,265,600
  5. Step 5: Solve for x
    x = 318,265,600/7,772
  6. Step 6: Final answer
    x = 40,950.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.