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Finding the Third Proportional to 7,783 and 9,007

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Solution

The third proportional to 7,783 and 9,007 is: 10,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783 : 9,007 = 9,007 : x
  2. Step 2: Convert to fraction form
    7,783/9,007 = 9,007/x
  3. Step 3: Cross multiply
    7,783x = 9,007 × 9,007
  4. Step 4: Simplify right side
    7,783x = 81,126,049
  5. Step 5: Solve for x
    x = 81,126,049/7,783
  6. Step 6: Final answer
    x = 10,423.49

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.