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Finding the Third Proportional to 19,473 and 29,115

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Solution

The third proportional to 19,473 and 29,115 is: 43,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473 : 29,115 = 29,115 : x
  2. Step 2: Convert to fraction form
    19,473/29,115 = 29,115/x
  3. Step 3: Cross multiply
    19,473x = 29,115 × 29,115
  4. Step 4: Simplify right side
    19,473x = 847,683,225
  5. Step 5: Solve for x
    x = 847,683,225/19,473
  6. Step 6: Final answer
    x = 43,531.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.