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Finding the Third Proportional to 7,702 and 15,926

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Solution

The third proportional to 7,702 and 15,926 is: 32,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 15,926 = 15,926 : x
  2. Step 2: Convert to fraction form
    7,702/15,926 = 15,926/x
  3. Step 3: Cross multiply
    7,702x = 15,926 × 15,926
  4. Step 4: Simplify right side
    7,702x = 253,637,476
  5. Step 5: Solve for x
    x = 253,637,476/7,702
  6. Step 6: Final answer
    x = 32,931.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.