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Finding the Third Proportional to 7,058.75 and 15,568.75

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Solution

The third proportional to 7,058.75 and 15,568.75 is: 34,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.75 : 15,568.75 = 15,568.75 : x
  2. Step 2: Convert to fraction form
    7,058.75/15,568.75 = 15,568.75/x
  3. Step 3: Cross multiply
    7,058.75x = 15,568.75 × 15,568.75
  4. Step 4: Simplify right side
    7,058.75x = 242,385,976.56
  5. Step 5: Solve for x
    x = 242,385,976.56/7,058.75
  6. Step 6: Final answer
    x = 34,338.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.