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Finding the Third Proportional to 4,295 and 7,987

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Solution

The third proportional to 4,295 and 7,987 is: 14,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295 : 7,987 = 7,987 : x
  2. Step 2: Convert to fraction form
    4,295/7,987 = 7,987/x
  3. Step 3: Cross multiply
    4,295x = 7,987 × 7,987
  4. Step 4: Simplify right side
    4,295x = 63,792,169
  5. Step 5: Solve for x
    x = 63,792,169/4,295
  6. Step 6: Final answer
    x = 14,852.66

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.