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Finding the Third Proportional to 19,350 and 29,579.25

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Solution

The third proportional to 19,350 and 29,579.25 is: 45,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 29,579.25 = 29,579.25 : x
  2. Step 2: Convert to fraction form
    19,350/29,579.25 = 29,579.25/x
  3. Step 3: Cross multiply
    19,350x = 29,579.25 × 29,579.25
  4. Step 4: Simplify right side
    19,350x = 874,932,030.56
  5. Step 5: Solve for x
    x = 874,932,030.56/19,350
  6. Step 6: Final answer
    x = 45,216.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.