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Finding the Third Proportional to 12,260 and 15,926

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Solution

The third proportional to 12,260 and 15,926 is: 20,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260 : 15,926 = 15,926 : x
  2. Step 2: Convert to fraction form
    12,260/15,926 = 15,926/x
  3. Step 3: Cross multiply
    12,260x = 15,926 × 15,926
  4. Step 4: Simplify right side
    12,260x = 253,637,476
  5. Step 5: Solve for x
    x = 253,637,476/12,260
  6. Step 6: Final answer
    x = 20,688.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.