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Finding the Third Proportional to 19,693 and 29,944.50

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Solution

The third proportional to 19,693 and 29,944.50 is: 45,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693 : 29,944.50 = 29,944.50 : x
  2. Step 2: Convert to fraction form
    19,693/29,944.50 = 29,944.50/x
  3. Step 3: Cross multiply
    19,693x = 29,944.50 × 29,944.50
  4. Step 4: Simplify right side
    19,693x = 896,673,080.25
  5. Step 5: Solve for x
    x = 896,673,080.25/19,693
  6. Step 6: Final answer
    x = 45,532.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.