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Finding the Third Proportional to 9,104 and 9,840

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Solution

The third proportional to 9,104 and 9,840 is: 10,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104 : 9,840 = 9,840 : x
  2. Step 2: Convert to fraction form
    9,104/9,840 = 9,840/x
  3. Step 3: Cross multiply
    9,104x = 9,840 × 9,840
  4. Step 4: Simplify right side
    9,104x = 96,825,600
  5. Step 5: Solve for x
    x = 96,825,600/9,104
  6. Step 6: Final answer
    x = 10,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.