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Finding the Third Proportional to 4,731.31 and 9,952.63

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Solution

The third proportional to 4,731.31 and 9,952.63 is: 20,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.31 : 9,952.63 = 9,952.63 : x
  2. Step 2: Convert to fraction form
    4,731.31/9,952.63 = 9,952.63/x
  3. Step 3: Cross multiply
    4,731.31x = 9,952.63 × 9,952.63
  4. Step 4: Simplify right side
    4,731.31x = 99,054,744.39
  5. Step 5: Solve for x
    x = 99,054,744.39/4,731.31
  6. Step 6: Final answer
    x = 20,936.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.