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Finding the Third Proportional to 4,938.47 and 10,716.05

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Solution

The third proportional to 4,938.47 and 10,716.05 is: 23,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.47 : 10,716.05 = 10,716.05 : x
  2. Step 2: Convert to fraction form
    4,938.47/10,716.05 = 10,716.05/x
  3. Step 3: Cross multiply
    4,938.47x = 10,716.05 × 10,716.05
  4. Step 4: Simplify right side
    4,938.47x = 114,833,660.63
  5. Step 5: Solve for x
    x = 114,833,660.63/4,938.47
  6. Step 6: Final answer
    x = 23,252.89

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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.