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Finding the Third Proportional to 10,908 and 14,506

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Solution

The third proportional to 10,908 and 14,506 is: 19,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 14,506 = 14,506 : x
  2. Step 2: Convert to fraction form
    10,908/14,506 = 14,506/x
  3. Step 3: Cross multiply
    10,908x = 14,506 × 14,506
  4. Step 4: Simplify right side
    10,908x = 210,424,036
  5. Step 5: Solve for x
    x = 210,424,036/10,908
  6. Step 6: Final answer
    x = 19,290.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.