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Finding the Third Proportional to 19,952 and 37,760

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Solution

The third proportional to 19,952 and 37,760 is: 71,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952 : 37,760 = 37,760 : x
  2. Step 2: Convert to fraction form
    19,952/37,760 = 37,760/x
  3. Step 3: Cross multiply
    19,952x = 37,760 × 37,760
  4. Step 4: Simplify right side
    19,952x = 1,425,817,600
  5. Step 5: Solve for x
    x = 1,425,817,600/19,952
  6. Step 6: Final answer
    x = 71,462.39

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.