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Finding the Third Proportional to 19,728 and 29,798

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Solution

The third proportional to 19,728 and 29,798 is: 45,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 29,798 = 29,798 : x
  2. Step 2: Convert to fraction form
    19,728/29,798 = 29,798/x
  3. Step 3: Cross multiply
    19,728x = 29,798 × 29,798
  4. Step 4: Simplify right side
    19,728x = 887,920,804
  5. Step 5: Solve for x
    x = 887,920,804/19,728
  6. Step 6: Final answer
    x = 45,008.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.