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Finding the Third Proportional to 12,280 and 14,926

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Solution

The third proportional to 12,280 and 14,926 is: 18,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 14,926 = 14,926 : x
  2. Step 2: Convert to fraction form
    12,280/14,926 = 14,926/x
  3. Step 3: Cross multiply
    12,280x = 14,926 × 14,926
  4. Step 4: Simplify right side
    12,280x = 222,785,476
  5. Step 5: Solve for x
    x = 222,785,476/12,280
  6. Step 6: Final answer
    x = 18,142.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.