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Finding the Third Proportional to 29,928 and 44,312

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Solution

The third proportional to 29,928 and 44,312 is: 65,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,928 : 44,312 = 44,312 : x
  2. Step 2: Convert to fraction form
    29,928/44,312 = 44,312/x
  3. Step 3: Cross multiply
    29,928x = 44,312 × 44,312
  4. Step 4: Simplify right side
    29,928x = 1,963,553,344
  5. Step 5: Solve for x
    x = 1,963,553,344/29,928
  6. Step 6: Final answer
    x = 65,609.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.