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Finding the Third Proportional to 7,870 and 17,125

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Solution

The third proportional to 7,870 and 17,125 is: 37,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870 : 17,125 = 17,125 : x
  2. Step 2: Convert to fraction form
    7,870/17,125 = 17,125/x
  3. Step 3: Cross multiply
    7,870x = 17,125 × 17,125
  4. Step 4: Simplify right side
    7,870x = 293,265,625
  5. Step 5: Solve for x
    x = 293,265,625/7,870
  6. Step 6: Final answer
    x = 37,263.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.