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Finding the Third Proportional to 19,413 and 29,089.50

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Solution

The third proportional to 19,413 and 29,089.50 is: 43,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413 : 29,089.50 = 29,089.50 : x
  2. Step 2: Convert to fraction form
    19,413/29,089.50 = 29,089.50/x
  3. Step 3: Cross multiply
    19,413x = 29,089.50 × 29,089.50
  4. Step 4: Simplify right side
    19,413x = 846,199,010.25
  5. Step 5: Solve for x
    x = 846,199,010.25/19,413
  6. Step 6: Final answer
    x = 43,589.30

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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.