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Finding the Third Proportional to 19,472 and 40,886

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Solution

The third proportional to 19,472 and 40,886 is: 85,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472 : 40,886 = 40,886 : x
  2. Step 2: Convert to fraction form
    19,472/40,886 = 40,886/x
  3. Step 3: Cross multiply
    19,472x = 40,886 × 40,886
  4. Step 4: Simplify right side
    19,472x = 1,671,664,996
  5. Step 5: Solve for x
    x = 1,671,664,996/19,472
  6. Step 6: Final answer
    x = 85,849.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.