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Finding the Third Proportional to 19,497 and 29,115

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Solution

The third proportional to 19,497 and 29,115 is: 43,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497 : 29,115 = 29,115 : x
  2. Step 2: Convert to fraction form
    19,497/29,115 = 29,115/x
  3. Step 3: Cross multiply
    19,497x = 29,115 × 29,115
  4. Step 4: Simplify right side
    19,497x = 847,683,225
  5. Step 5: Solve for x
    x = 847,683,225/19,497
  6. Step 6: Final answer
    x = 43,477.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.