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Finding the Third Proportional to 10,160 and 15,926

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Solution

The third proportional to 10,160 and 15,926 is: 24,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160 : 15,926 = 15,926 : x
  2. Step 2: Convert to fraction form
    10,160/15,926 = 15,926/x
  3. Step 3: Cross multiply
    10,160x = 15,926 × 15,926
  4. Step 4: Simplify right side
    10,160x = 253,637,476
  5. Step 5: Solve for x
    x = 253,637,476/10,160
  6. Step 6: Final answer
    x = 24,964.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.