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Finding the Third Proportional to 14,860 and 19,636

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Solution

The third proportional to 14,860 and 19,636 is: 25,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860 : 19,636 = 19,636 : x
  2. Step 2: Convert to fraction form
    14,860/19,636 = 19,636/x
  3. Step 3: Cross multiply
    14,860x = 19,636 × 19,636
  4. Step 4: Simplify right side
    14,860x = 385,572,496
  5. Step 5: Solve for x
    x = 385,572,496/14,860
  6. Step 6: Final answer
    x = 25,947.01

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.