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Finding the Third Proportional to 7,838 and 15,283.25

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Solution

The third proportional to 7,838 and 15,283.25 is: 29,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 15,283.25 = 15,283.25 : x
  2. Step 2: Convert to fraction form
    7,838/15,283.25 = 15,283.25/x
  3. Step 3: Cross multiply
    7,838x = 15,283.25 × 15,283.25
  4. Step 4: Simplify right side
    7,838x = 233,577,730.56
  5. Step 5: Solve for x
    x = 233,577,730.56/7,838
  6. Step 6: Final answer
    x = 29,800.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.