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Finding the Third Proportional to 7,284 and 15,759

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Solution

The third proportional to 7,284 and 15,759 is: 34,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 15,759 = 15,759 : x
  2. Step 2: Convert to fraction form
    7,284/15,759 = 15,759/x
  3. Step 3: Cross multiply
    7,284x = 15,759 × 15,759
  4. Step 4: Simplify right side
    7,284x = 248,346,081
  5. Step 5: Solve for x
    x = 248,346,081/7,284
  6. Step 6: Final answer
    x = 34,094.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.