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Finding the Third Proportional to 4,932.14 and 10,718.58

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Solution

The third proportional to 4,932.14 and 10,718.58 is: 23,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.14 : 10,718.58 = 10,718.58 : x
  2. Step 2: Convert to fraction form
    4,932.14/10,718.58 = 10,718.58/x
  3. Step 3: Cross multiply
    4,932.14x = 10,718.58 × 10,718.58
  4. Step 4: Simplify right side
    4,932.14x = 114,887,917.02
  5. Step 5: Solve for x
    x = 114,887,917.02/4,932.14
  6. Step 6: Final answer
    x = 23,293.72

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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.