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Finding the Third Proportional to 7,117 and 10,847.63

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Solution

The third proportional to 7,117 and 10,847.63 is: 16,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117 : 10,847.63 = 10,847.63 : x
  2. Step 2: Convert to fraction form
    7,117/10,847.63 = 10,847.63/x
  3. Step 3: Cross multiply
    7,117x = 10,847.63 × 10,847.63
  4. Step 4: Simplify right side
    7,117x = 117,670,968.14
  5. Step 5: Solve for x
    x = 117,670,968.14/7,117
  6. Step 6: Final answer
    x = 16,533.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.