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Finding the Third Proportional to 7,803 and 8,910

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Solution

The third proportional to 7,803 and 8,910 is: 10,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803 : 8,910 = 8,910 : x
  2. Step 2: Convert to fraction form
    7,803/8,910 = 8,910/x
  3. Step 3: Cross multiply
    7,803x = 8,910 × 8,910
  4. Step 4: Simplify right side
    7,803x = 79,388,100
  5. Step 5: Solve for x
    x = 79,388,100/7,803
  6. Step 6: Final answer
    x = 10,174.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.