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Finding the Third Proportional to 7,047 and 8,235

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Solution

The third proportional to 7,047 and 8,235 is: 9,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 8,235 = 8,235 : x
  2. Step 2: Convert to fraction form
    7,047/8,235 = 8,235/x
  3. Step 3: Cross multiply
    7,047x = 8,235 × 8,235
  4. Step 4: Simplify right side
    7,047x = 67,815,225
  5. Step 5: Solve for x
    x = 67,815,225/7,047
  6. Step 6: Final answer
    x = 9,623.28

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.