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Finding the Third Proportional to 14,044 and 30,728

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Solution

The third proportional to 14,044 and 30,728 is: 67,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044 : 30,728 = 30,728 : x
  2. Step 2: Convert to fraction form
    14,044/30,728 = 30,728/x
  3. Step 3: Cross multiply
    14,044x = 30,728 × 30,728
  4. Step 4: Simplify right side
    14,044x = 944,209,984
  5. Step 5: Solve for x
    x = 944,209,984/14,044
  6. Step 6: Final answer
    x = 67,232.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.