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Finding the Third Proportional to 7,714 and 12,415

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Solution

The third proportional to 7,714 and 12,415 is: 19,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714 : 12,415 = 12,415 : x
  2. Step 2: Convert to fraction form
    7,714/12,415 = 12,415/x
  3. Step 3: Cross multiply
    7,714x = 12,415 × 12,415
  4. Step 4: Simplify right side
    7,714x = 154,132,225
  5. Step 5: Solve for x
    x = 154,132,225/7,714
  6. Step 6: Final answer
    x = 19,980.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.