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Finding the Third Proportional to 11,506 and 16,282

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Solution

The third proportional to 11,506 and 16,282 is: 23,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506 : 16,282 = 16,282 : x
  2. Step 2: Convert to fraction form
    11,506/16,282 = 16,282/x
  3. Step 3: Cross multiply
    11,506x = 16,282 × 16,282
  4. Step 4: Simplify right side
    11,506x = 265,103,524
  5. Step 5: Solve for x
    x = 265,103,524/11,506
  6. Step 6: Final answer
    x = 23,040.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.