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Finding the Third Proportional to 4,732 and 10,312

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Solution

The third proportional to 4,732 and 10,312 is: 22,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732 : 10,312 = 10,312 : x
  2. Step 2: Convert to fraction form
    4,732/10,312 = 10,312/x
  3. Step 3: Cross multiply
    4,732x = 10,312 × 10,312
  4. Step 4: Simplify right side
    4,732x = 106,337,344
  5. Step 5: Solve for x
    x = 106,337,344/4,732
  6. Step 6: Final answer
    x = 22,471.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.