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Finding the Third Proportional to 7,720 and 17,860

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Solution

The third proportional to 7,720 and 17,860 is: 41,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 17,860 = 17,860 : x
  2. Step 2: Convert to fraction form
    7,720/17,860 = 17,860/x
  3. Step 3: Cross multiply
    7,720x = 17,860 × 17,860
  4. Step 4: Simplify right side
    7,720x = 318,979,600
  5. Step 5: Solve for x
    x = 318,979,600/7,720
  6. Step 6: Final answer
    x = 41,318.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.