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Finding the Third Proportional to 19,372 and 29,102

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Solution

The third proportional to 19,372 and 29,102 is: 43,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372 : 29,102 = 29,102 : x
  2. Step 2: Convert to fraction form
    19,372/29,102 = 29,102/x
  3. Step 3: Cross multiply
    19,372x = 29,102 × 29,102
  4. Step 4: Simplify right side
    19,372x = 846,926,404
  5. Step 5: Solve for x
    x = 846,926,404/19,372
  6. Step 6: Final answer
    x = 43,719.10

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Why These Related Problems?

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