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Finding the Third Proportional to 2,312.30 and 4,932.14

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Solution

The third proportional to 2,312.30 and 4,932.14 is: 10,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.30 : 4,932.14 = 4,932.14 : x
  2. Step 2: Convert to fraction form
    2,312.30/4,932.14 = 4,932.14/x
  3. Step 3: Cross multiply
    2,312.30x = 4,932.14 × 4,932.14
  4. Step 4: Simplify right side
    2,312.30x = 24,326,011.14
  5. Step 5: Solve for x
    x = 24,326,011.14/2,312.30
  6. Step 6: Final answer
    x = 10,520.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.