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Finding the Third Proportional to 19,156 and 29,735

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Solution

The third proportional to 19,156 and 29,735 is: 46,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,156 : 29,735 = 29,735 : x
  2. Step 2: Convert to fraction form
    19,156/29,735 = 29,735/x
  3. Step 3: Cross multiply
    19,156x = 29,735 × 29,735
  4. Step 4: Simplify right side
    19,156x = 884,170,225
  5. Step 5: Solve for x
    x = 884,170,225/19,156
  6. Step 6: Final answer
    x = 46,156.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.