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Finding the Third Proportional to 4,931 and 10,682.50

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Solution

The third proportional to 4,931 and 10,682.50 is: 23,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931 : 10,682.50 = 10,682.50 : x
  2. Step 2: Convert to fraction form
    4,931/10,682.50 = 10,682.50/x
  3. Step 3: Cross multiply
    4,931x = 10,682.50 × 10,682.50
  4. Step 4: Simplify right side
    4,931x = 114,115,806.25
  5. Step 5: Solve for x
    x = 114,115,806.25/4,931
  6. Step 6: Final answer
    x = 23,142.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.