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Finding the Third Proportional to 7,875 and 16,114

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Solution

The third proportional to 7,875 and 16,114 is: 32,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875 : 16,114 = 16,114 : x
  2. Step 2: Convert to fraction form
    7,875/16,114 = 16,114/x
  3. Step 3: Cross multiply
    7,875x = 16,114 × 16,114
  4. Step 4: Simplify right side
    7,875x = 259,660,996
  5. Step 5: Solve for x
    x = 259,660,996/7,875
  6. Step 6: Final answer
    x = 32,972.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.