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Finding the Third Proportional to 12,312 and 16,282

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Solution

The third proportional to 12,312 and 16,282 is: 21,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 16,282 = 16,282 : x
  2. Step 2: Convert to fraction form
    12,312/16,282 = 16,282/x
  3. Step 3: Cross multiply
    12,312x = 16,282 × 16,282
  4. Step 4: Simplify right side
    12,312x = 265,103,524
  5. Step 5: Solve for x
    x = 265,103,524/12,312
  6. Step 6: Final answer
    x = 21,532.13

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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.